A Selection  of
RESEARCH/SCHOLARLY ACTIVITIES

 Professor  Mohammad K. Azarian

 

 

I. (A Selection of ) PAPERS PRESENTED
 

Mohammad K. Azarian, Combinatorics of Discrete Functions, presented to the American Mathematical Society, at the 2024 joint mathematics meetings of 17 mathematics organization, January 3-6, San Francisco, California, 2024. Abstracts of Papers Presented to the AMS, Volume 45, Number 1 - JMM 2024, #1192-97-27096, p. 9. Online.

Mohammad K. Azarian, Strategies and Challenges in Creating Original, Interesting, and Publishable Mathematical Problems, presented at the national meeting of the Mathematical Association of America (MathFest 2023), Tampa, Florida, August 2-5, 2023. Abstracts of Papers Presented at MAA MathFest, 2023, pp. 83-84. Online.

Mohammad K. Azarian, On Convergent of Some Infinite Series Involving Fibonacci Numbers and Identities, presented at the joint annual meeting of the American Mathematical Society, Mathematical Association of America, and National Association of Mathematicians, Denver, Colorado, January 18, 2020.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 41, No. 1, Issue 199, #1154-11-246, Winter 2020.

Mohammad K. Azarian, Unpublished Solutions of Some Problem Proposals in General Mathematics Journals Involving Inequalities, presented at the joint annual meeting of the American Mathematical Society, Mathematical Association of America, and National Association of Mathematicians, Baltimore, Maryland, January 17, 2019.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 40, No. 1, Issue 195, #1145-F1-108, Winter 2019, p. 394.

Mohammad K. Azarian, The Famous Cubic Equation of Ghiyath al-Din Jamshid Mas'ud al-Kashi [Jamshid Kashani] and Mathematica, presentation at the joint annual meeting of the American Mathematical Society and Mathematical Association of America, San Diego, California, January 13, 2018.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 39, No. 1, Issue 191, #1135-01-695, Winter 2018, p. 11.

Mohammad K. Azarian, An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Kashani, a keynote address at the 2017 International Conference on Architecture and Mathematics, University of Kashan, Kashan, Iran, Sunday, December 17, 2017.  Abstracts of Papers Presented at the 2017 International Conference on Architecture and Mathematics, University of Kashan, Kashan, Iran, December 16-18, 2017, p. 2.

Mohammad K. Azarian, Mathematics Contributions of `Abd al-`Ali al-Birjandi [Birjandi], presentation at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Atlanta, Georgia, January 6, 2017, #1125-01-110, p. 148.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 38, No. 1, Issue 187, #1125-01-110, Winter 2017, p. 10.

Mohammad K. Azarian, Niza-m al-Di-n `Abd al-`Ali- ibn Muhammad ibn Husain al-Bi-rjandi, a 16th Century Polymath Genius, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Seattle, Washington, January 9, 2016, #1116-01-779, p. 180.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 37, No. 1, Issue 183, #1116-01-779, Winter 2016, p. 16.

Mohammad K. Azarian, A Medieval Calculation of Sine of One Degree by Ghiyath al-Din Jamshid Mas'ud al-Kashi (d. 1429), presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Antonio, TX, January 13, 2015, #1106-01-1120, p. 192. Abstracts of Papers Presented to the American Mathematical Society, Vol. 36, No. 1, Issue 179, #1106-01-1120, Winter 2015, p. 11.

Mohammad K. Azarian, The Second Ptolemy: Persia's Fifteenth Century Mathematical Genius Jamshid Kashani, Presented at the 2014 Meeting of the Missouri Section of the Mathematical Association of America, Saint Louis University, St. Louis, MO, March 28, 2014. Abstracts of Papers Presented at the 2014 Meeting of the Missouri Section of the Mathematical Association of America, Saint Louis University, St. Louis, MO, March 28, 2014, p. 4.

Mohammad K. Azarian, A Study of Risala al-watar wa'l jaib ("The Treatise on the Chord and Sine"), presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Baltimore, MD, January 18, 2014, #1096-01-1419, p. 156. Abstracts of Papers Presented to the American Mathematical Society, Vol. 35, No. 1, Issue 175, #1096-01-1419, Jan. 2014, p. 13.

Mohammad K. Azarian, Euler's Number Via Difference Equations, presented at the 1094th meeting of the American Mathematical Society, Washington University, St. Louis, MO, October 19, 2013, #1094-11-350, p. 27. Abstracts of Papers Presented at the 1094th meeting of the American Mathematical Society, Washington University, St. Louis, MO, October 19, 2013, #1094-11-350, p. 64.

Mohammad K. Azarian, Fibonacci and Lucas Identities as Binomial Sums, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Diego, CA, January 9, 2013, #1086-11-362. Abstracts of Papers Presented to the American Mathematical Society, Vol. 34, No. 1, Issue 171, #1086-11-362, Jan. 2013, p. 63.

Mohammad K. Azarian, Jensen's Inequality Versus Algebra in Finding the Exact Maximum, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Boston, MA, Jan. 2012.  Notices of the American Mathematical Society, Vol. 59, No. 1, #1077-VL-610, Jan. 2012, p. 233.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 33, No. 1, Issue 167, #1077-VL-610, Jan. 2012, p. 530.

Mohammad K. Azarian, A Differential Equation With Many Faces, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, New Orleans, LA, Jan. 2011. Notices of the American Mathematical Society, Vol. 58, No. 1, #1067-Z1-229, Jan. 2011, p. 202.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 32, No. 1, Issue 163, #1067-Z1-229, Jan. 2011, p. 403.

Mohammad K. Azarian, Conjectures and Open Questions Regarding Near Frattini Subgroups of Generalized Free Products of Groups, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Francisco, CA, Jan. 2010.  Notices of the American Mathematical Society, Vol. 57, No. 1, #1056-20-371, Jan. 2010, p. 118.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 31, No. 1, Issue 159, #1056-20-371, Jan. 2010, p. 93.

Mohammad K. Azarian, Al-Risala al-Muhitiyya II (The Treatise on the Circumference), presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Washington, DC, Jan. 2009.  Notices of the American Mathematical Society, Vol. 56, No. 1, #1046-01-649, Jan. 2009, p. 120.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 30, No. 1, Issue 155, #1046-01-649, Jan. 2009, p. 11.

Mohammad K. Azarian, Al-Risala al-Muhitiyya (The Treatise on the Circumference), presented at the joint annual meetings of the AmericMan Mathematical Society and Mathematical Association of America, San Diego, CA, Jan. 2008. Notices of the American Mathematical Society, Vol. 55, No. 1, #1035-0-248, Jan. 2008, p. 122. Abstracts of Papers Presented to the American Mathematical Society, Vol. 29, No. 1, Issue 151, #1035-01-248, Jan. 2008, p. 5.

Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, presented at the Southeastern Section Meeting of the American Mathematical Society, #1033-11-45, Murfreesboro, TN, November 2007. Abstracts of Papers Presented to the American Mathematical Society, Vol. 28, No. 4, #1033-11-45, 2007.

Mohammad K. Azarian, On the Fixed Points of a Function and its Corresponding Composite Functions, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, New Orleans, Louisiana, Jan. 2007.  Notices of the American Mathematical Society, Vol. 54, No. 1, #1023-65-513, Jan. 2007, p. 175.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 28, No. 1, Issue 147,#1023-65-513, Jan. 2007, p. 177.

Mohammad K. Azarian, On the Location of the Near Frattini Subgroups of Generalized Free Products of Groups With Amalgamations, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Antonio, Texas, Jan. 2006.  Notices of the American Mathematical Society, Vol. 53, No. 1, #1014-20-735, Jan. 2006, p. 159.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 27, No. 1, Issue 143, #1014-20-735, Jan. 2006, p. 74.

Mohammad K. Azarian, Another Approach to Kashani's Fundamental Theorem, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Atlanta, GA, Jan. 2005.  Notices of the American Mathematical Society, Vol. 52, No. 1, #1003-01-942, Jan. 2005.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 26, No. 1, Issue 139, #1003-01-492, Jan. 2005, p. 5.

Mohammad K. Azarian, On the Generalization of the Climbing Stairs Problem, presented at the fall meeting of the Indiana Section of the Mathematical Association of America, Goshen College, IN, October 2003. 

Mohammad K. Azarian, On the Climbing Stairs Problem: a Generalization, presented at the spring meeting of the Missouri Section of the Mathematical Association of America, Washington University, St. Louis, MO, April 2003. 

Mohammad K. Azarian, Kashani's Fundamental Theorem, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Diego, CA, Jan. 2002.  Notices of the American Mathematical Society, Vol. 49, No. 1, #973-01-86, Jan. 2002, p. 112.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 23, No. 1, Issue 127, #973-01-86, Jan. 2002, p. 3.

Mohammad K. Azarian, On the Climbing Stairs Problem, presented at the 965th meeting of the American Mathematical Society, Las Vegas, Nevada, April 21-22, 2001. Abstracts of Papers Presented to the 965th Meeting of the American Mathematical Society, Vol. 22, No. 2, #965-11-100, 2001.

Mohammad K. Azarian, On the Upper Near Frattini Subgroups of Free Products of Groups With or Without Amalgamations, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Washington, D. C., Jan. 2000.  Notices of the American Mathematical Society, Vol. 47, No. 1, #950-20-176, Jan. 2000, p. 131.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 21, No. 1, #950-20-176, Jan. 2000, p. 65.

Mohammad K. Azarian, Pascal-Like Triangles, presented at the 27th Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, October 1999. 

Mohammad K. Azarian, On the Generalized Free Product of Finitely Generated Nilpotent Groups and the Near Frattini Subgroup, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Baltimore, MD, Jan. 1998.  Notices of the American Mathematical Society, Vol. 45, No. 1, #930-20-102, Jan. 1998, p. 178.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 19, No. 1, #930-20-102, Jan. 1998, p. 53.

Mohammad K. Azarian, On the Near Frattini Subgroups of Amalgamated Free Products With Residual Properties, presented at the 28th Annual Iranian Mathematics Conference, Tabriz University, March 1997.

Mohammad K. Azarian, On the Near Frattini Subgroups of Residually Finite Amalgamated Free Products II, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Diego, CA, January 1997.  Notices of the American Mathematical Society, Vol. 44, No. 1, # 316 , Jan. 1997, p. 143.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 18, No. 1,  Jan. 1997, p. 56.

Mohammad K. Azarian, Partitions, Compositions, and Generating Functions Can Give You a Lift, presented at the meeting of the Indiana Section of the Mathematical Association of America, Rose-Hulman Institute of Technology, Terre Haute, IN, October 1996.

Mohammad K. Azarian, On the Near Frattini Subgroups of Amalgamated Free Products With Residual Properties, presented (by invitation) at the XXIIIrd Ohio State University-Denison Mathematics Conference, Granville, OH, May 1996.  Report on the XXIIIrd Ohio State-Denison Mathematics Conference, Department of Mathematics, The Ohio State University, May 1996.

Mohammad K. Azarian, On the Near Frattini Subgroups of Residually Finite Amalgamated Free Products, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Orlando, FL, Jan. 1996.  Notices of the American Mathematical Society, Vol. 43, No. 1, # 190 , Jan. 1996, p. 139.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 17, No. 1,  Jan. 1996, p. 50.

Mohammad K. Azarian, On the Near Frattini Subgroup of Certain Groups, presented at the joint summer annual meetings of the American Mathematical Society and Mathematical Association of America, Burlington, Vermont, Aug. 1995.  Notices of the American Mathematical Society, Vol. 42, No. 8, Aug. 1995, p. 945.  Abstracts of Papers Presented to the Abstracts of Papers Presented to the American Mathematical Society, Vol. 16, No. 3, Summer 1995, p. 634.

Mohammad K. Azarian, A Key Theorem on Near Frattini Subgroups of Generalized Free Products of Groups, presented (by invitation) at the Regional Group Theory Conference, Miami University, Oxford, OH, May 1995. 

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Amalgamated Free Products of Groups, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Francisco, CA, Jan. 1995.  Notices of the American Mathematical Society, Vol. 42, No. 1,  Jan. 1995, p. 161.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 16, No. 1,  Jan. 1995, p. 68.

Mohammad K. Azarian, Ghiyath ud-din Jamshid Kashani: Talkhieth al-meftah, presented at the Midwest Math History Conference V, University of Indianapolis, Indianapolis, IN, Oct. 1994.

Mohammad K. Azarian, Ghiyath ud-din Jamshid Kashani, presented (by invitation) at the Conference on History of Mathematics in Honor of Boris Rosenfeld, The Pennsylvania State University, University Park, PA, Aug. 1994. 

Mohammad K. Azarian, On the Near Frattini Subgroups of Generalized Free Products, presented (by invitation) at the XXIInd Ohio State University Mathematics Conference, March 1994.  Report on the XXIInd Ohio State-Denison Mathematics Conference, Department of Mathematics, The Ohio State University, March 1994.

Mohammad K. Azarian, Ghiyath ud-din Jamshid Kashani: Meftah al-hesab, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Cincinnati, OH, Jan. 1994.  Notices of the American Mathematical Society, Vol. 40, No. 10, # 468, Dec. 1993, p. 1407.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 15, No. 1, Jan. 1994, p. 7.

Mohammad K. Azarian, More Than One Way to Differentiate?, presented at the 21st Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, Oct. 1993. 

Mohammad K. Azarian, Omar Khayyam Nishabouri (1048-1131): Mathematician, Astronomer, Poet, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, San Antonio, TX, Jan. 1993.  Notices of the American Mathematical Society, Vol. 39, No. 10, # 182, Dec. 1992, p. 1218.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 14, No. 1, Jan. 1993, p. 9.

Mohammad K. Azarian, Jamshid Kashi (? -1429), presented at the joint conference of the Twentieth Annual Mathematics and Statistics and Fourth Midwest History of Mathematics, Miami University, Oxford, OH, Oct. 1992.

Mohammad K. Azarian, Near Frattini Subgroups of Generalized Free Products, presented (by invitation) at the XXIst Ohio State University Mathematics Conference, May 1992.  Report on the XXIst Ohio State-Denison Mathematics Conference, Department of Mathematics, the Ohio State University, Columbus, OH, May, 1992.

Mohammad K. Azarian, On the Near Frattini Subgroup of the Amalgamated Free Product of Finitely Generated Abelian Groups, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, Baltimore, MD, Jan. 1992.  Notices of the American Mathematical Society, Vol. 38, No. 10, # 30 , Dec. 1991, p. 1280.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 13, No. 1, Jan. 1992, p. 36.

Mohammad K. Azarian, On the Near Frattini Subgroups of Ordinary Free Products of Groups, presented at the Central Section meeting of the American Mathematical Society, South Bend, IN, March 1991.  Notices of the American Mathematical Society, Vol. 38, No. 3, # 69, March 1991, p. 207.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 12, No. 2, March 1991, p. 211.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Generalized Free Products with Countable or Nilpotent Generalized Free Factors, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, in Louisville, KY, Jan. 1990.  Notices of the American Mathematical Society, Vol. 36, No. 10, # 267, Dec. 1989, p. 1392.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 11, No. 1, Jan. 1990, p. 29.

Mohammad K. Azarian, Mixture Problems in a Single Compartment System, presented at the Seventeenth Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, Oct. 1989. 

Mohammad K. Azarian, Upper Near Frattini Subgroups of Finitely Generated Amalgamated Free Products, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, in Phoenix, AZ, Jan. 1989.  Notices of the American Mathematical Society, Vol. 35, No. 10, # 144, Dec. 1988 p. 1541.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 10, No. 1, Jan. 1989, pp. 34-35.

Mohammad K. Azarian, On the Sequences of the Partial Sums of the Positive Integers, presented at the Sixteenth Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, Sept. 1988. 

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Generalized Free Products II, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, in Atlanta, GA, Jan. 1988.  Notices of the American Mathematical Society, Vol. 35, No. 1, # 471, Jan. 1988, p. 116.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 9, No. 1, Jan. 1988, p. 42.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups and Nearly Splitting Groups, presented at the Fifteenth Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, Oct. 1987. 

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Generalized Free Products I, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, in San Antonio, TX, Jan. 1987.  Notices of the American Mathematical Society, Vol. 34, No. 1, # 248, Jan. 1987, p. 90.   Abstracts of Papers Presented to the American Mathematical Society, Vol. 8, No. 1, Jan. 1987, p. 32.

Mohammad K. Azarian, Lower Near Frattini Subgroups of Amalgamated Free Products of Groups, presented at the joint annual meetings of the American Mathematical Society and Mathematical Association of America, in New Orleans, LA, Jan. 1986.  Notices of the American Mathematical Society, Vol. 33, No. 1, # 282, Jan. 1986, p. 97.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 7, No. 1, Jan. 1986, p. 37.

Mohammad K. Azarian, Near Frattini Subgroups of Amalgamated Free Products of Groups, presented at the joint annual meetings of the American Mathematical Society, Mathematical Association of America, and Society for Industrial and Applied Mathematics, in Anaheim, CA, Jan. 1985.  Notices of the American Mathematical Society, Vol. 32, No. 1, # 306, Jan. 1985, p. 57.  Abstracts of Papers Presented to the American Mathematical Society, Vol. 6, No. 1, Jan. 1985, p. 38.

 

II.  PUBLISHED PAPERS/ARTICLES

 

 

Mohammad K. Azarian, Human Rights of Mathematicians, Notices of the American Mathematical Society, Vol. 71, No. 7, pp. 449-451, August 2024 , co-atuhored with Karen Saxe.

Mohammad K. Azarian, Remarks and Conjectures Regarding Combinatorics of Discrete Partial Functions, International Mathematical Forum, Vol. 17, 2022, no. 3, 129 - 141, https://doi.org/10.12988/imf.2022.912321

Mohammad K. Azarian, Convergent Infinite Sums and Products Involving Fibonacci Numbers, International Mathematical Forum, Vol. 16, 2021, no. 2, 77 - 88, https://doi: 10.12988/imf.2021.912218

Mohammad K. Azarian, al-Birjandi, Encyclopedia of Islam Three (Brill's Third Edition), Volume 2020-1, January 2020, pp. 20-21, ISBN: 978-90-04-41343-6.

Mohammad K. Azarian, An Overview of Mathematical Contributions of Ghiya-th al-Din Jamshid Al-Ka-sha-ni [Ka-sha-ni], Mathematics Interdisciplinary Research, Volume 4 (2019), pp. 11-19.

Mohammad K. Azarian, A Study of Risa-la al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"): Revisited, Forum Geometricorum, Volume 18 (2018), 219-222. Mathematical Reviews, MR3819227 (Reviewed), Zentralblatt MATH, Zbl 1395.51026.

Mohammad K. Azarian,  A Study of Risa-la al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"), Forum Geometricorum, Volume 15 (2015), 229-242.  Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.

Mohammad K. Azarian, Some Examples and Remarks Concerning Groups, International Journal of Algebra, Vol. 7, 2013, no. 8, 363 - 368. Mathematical Reviews, MR 3056462. Zentralblatt MATH, Zbl 1287.20001.

Mohammad K. Azarian, On Exact Differential Equations of First Order with Two Variables, Applied Mathematical Sciences, Vol 6, No. 137, 2012, pp. 6805-6807.  Mathematical Reviews, MR 2997597.

Mohammad K. Azarian, On Bernoulli’s Differential Equation, Applied Mathematical Sciences, Vol 6, No. 137, 2012, pp. 6799-6803. Mathematical Reviews, MR 2997596.

Mohammad K. Azarian, Identities Involving Lucas or Fibonacci and Lucas Numbers as Binomial Sums, International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 45, 2012, pp. 2221-2227.  Mathematical Reviews, MR 2999343. Zentralblatt MATH, Zbl 1273.05004.

Mohammad K. Azarian, Fibonacci Identities as Binomial Sums II, International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 42, 2012, pp. 2053-2059. Mathematical Reviews, MR2980853. Zentralblatt MATH, Zbl 1255.05004.

Mohammad K. Azarian, Fibonacci Identities as Binomial Sums, International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 38, 2012, pp. 1871-1876. Mathematical Reviews, MR2959001. Zentralblatt MATH, Zbl 1255.05003.

Mohammad K. Azarian, Euler's Number Via Difference Equations, International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 22, 2012, pp. 1095-1102. Mathematical Reviews, MR2921250. Zentralblatt MATH, Zbl 1251.39011.

Mohammad K. Azarian, Jensen's Inequality Versus Algebra in Finding the Exact Maximum, International Mathematical Forum, Vol. 6, No. 59, 2011, pp. 2949-2954.  Mathematical Reviews, MR2862617. Zentralblatt MATH, Zbl 1250.26009.

 Mohammad K. Azarian, A Family of Differential Equations With Multiple Properties, International Electronic Journal of Pure and Applied Mathematics, Vol. 3. No. 1, 2011, pp. 105-109.  Reviewed in College Mathematics Journal, Vol. 43, No. 1, January 2012, p. 109.

Mohammad K. Azarian, Conjectures and Questions Regarding Near Frattini Subgroups of Generalized Free Products of Groups, International Journal of Algebra, Vol. 5, No. 1, 2011, pp. 1-15.  Mathematical Reviews, MR2780996 (2012d:20067). Zentralblatt MATH, Zbl 1242.20032.

Mohammad K. Azarian, The Second Ptolemy: Persia's Fifteenth Century Mathematical Genius-Ghiyath Al-Din Jamshid Mas'ud Al-Kashi, National Association of Mathematicians' Newsletter, Vol. 42, No. 1, Spring 2011, pp. 3-4.

Mohammad K. Azarian, Al-Risala al-Muhitiyya: A Summary, Missouri Journal of Mathematical Sciences, Vol. 22, No. 2, 2010, pp. 64-85.  Mathematical Reviews, MR2675403 (2011e:01005). Zentralblatt MATH, Zbl pre05802215.  Historia Mathematica, Vol. 38, Issue 3, August 2011, p. 435.

Mohammad K. Azarian, The Introduction of Al-Risala al-Muhitiyya: An English Translation, International Journal of Pure and Applied Mathematics, Vol. 57, No. 6, 2009 , pp. 903-914. Mathematical Reviews, MR2676249 (2011e:01004).  Zentralblatt MATH, Zbl 1198.01003.  Historia Mathematica, Vol. 38, Issue 2, May 2011, p. 312.

Mohammad K. Azarian, On the Fixed Points of a Function and the Fixed Points of its Composite Functions, International Journal of Pure and Applied Mathematics, Vol. 46, No. 1, 2008, pp. 37-44.  Mathematical Reviews, MR2433713 (2009c:65129), March 2009.  Zentralblatt MATH, Zbl 1160.65015.

Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257.  Mathematical Reviews, MR2312537.  Zentralblatt MATH, Zbl 1133.11012.

Mohammad K. Azarian, Near Frattini Subgroups of Certain Generalized Free Products of Groups, International Journal of Pure and Applied Mathematics, Vol. 28, No. 3, 2006, pp. 377-385.  Mathematical Reviews, MR2230953 (2008b:20032), February 2008.  Zentralblatt MATH, Zbl 1122.20011.

Mohammad K. Azarian, Al-Kashi's Fundamental Theorem, International Journal of Pure and Applied Mathematics, Vol. 14, No. 4, 2004, pp. 499-509. Mathematical Reviews, MR2005b:01021 (01A30), February 2005, p. 919.  Zentralblatt MATH, Zbl 1059.01005.  Historia Mathematica, Vol. 32, No. 4, November 2005, p. 500.

Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem II, Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, pp. 12-17.  Zentralblatt MATH, Zbl 1071.05501.

Mohammad K. Azarian, Near Frattini Subgroups of Residually Finite Generalized Free Products of Groups, International Journal of Mathematics and Mathematical Sciences, Vol. 26, No. 2, April 2001, pp. 117-121. Mathematical Reviews, MR2002b:20031 (20E6, 20E26), February 2002, p. 924.  Zentralblatt MATH, Zbl 1053.20024.

Mohammad K. Azarian, Meftah al-hesab: A Summary, Missouri Journal of Mathematical Sciences, Vol. 12, No. 2, Spring 2000, pp. 75-95. Mathematical Reviews, MR1 764 526.  Zentralblatt MATH, Zbl 1036.01002.  Historia Mathematica, Vol. 31, No. 2, May 2004, p. 233.

Mohammad K. Azarian, A Summary of Mathematical Works of Ghiyath ud-din Jamshid Kashani, Journal of Recreational Mathematics, Vol. 29, No. 1, 1998, pp. 32-41.  Math Edu,  ME1999a.00015.  Historia Mathematica, Vol. 31, No. 2, May 2004, p. 233.

Mohammad K. Azarian, On the Near Frattini Subgroups of Amalgamated Free Products with Residual Properties, Houston Journal of Mathematics, Vol. 23, No. 4, 1997, pp. 603-612. Mathematical Reviews, MR2000e:20052a (20E22, 20E10, 20E26, 20E28), May 2000, p. 3280.  Zentralblatt MATH, Zbl 896.20020.
 
Mohammad K. Azarian, On the Near Frattini Subgroup of the Generalized Free Product of Finitely Generated Nilpotent Groups, Houston Journal of Mathematics, Vol. 23, No. 4, 1997, pp. 613-615. Mathematical Reviews, MR2000e:20052b (20E22, 20E10, 20E26, 20E28), May 2000, p. 3280.  Zentralblatt MATH, Zbl 896.20019.

Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem, Mathematics and Computer Education, Vol. 31, No. 1, pp. 24-28, Winter 1997.  MathEduc Database (Zentralblatt MATH, 1997c.01891).

Mohammad K. Azarian, Recent Advances in the Near Frattini Subgroup, Proceedings of the 28th Annual Iranian Mathematics Conference, Publication #377 of Tabriz University, March 1997, pp. 55-68. Mathematical Reviews, MR99f:20040 (20E6, 20E28), May 1999, p. 3812.

Mohammad K. Azarian, A Key Theorem on the Near Frattini Subgroups of Generalized Free Products of Groups, Houston Journal of Mathematics, Vol. 22, No. 1, 1996, pp. 1-10. Mathematical Reviews, MR98B:20035 (20E6, 20E28) , February 1998, p. 810.  Zentralblatt MATH, Zbl 855.20026.

Mohammad K. Azarian, On the Near Frattini Subgroups of Certain Groups, Houston Journal of Mathematics, Vol. 20, No. 3, 1994, pp. 555-560. Mathematical Reviews, MR95d:20046 (20E06, 20E28, 57M25), April 1995, p. 2050.  Zentralblatt MATH, Zbl 817.20028.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Amalgamated Free Product of Groups, Houston Journal of Mathematics, Vol. 19, No. 4, 1993, pp. 499-504. Mathematical Reviews, MR94k:20046 (20E26, 20E28), Nov. 1994, p. 6289.  Zentralblatt MATH, Zbl 799.20028.

Mohammad K. Azarian, On the Near Frattini Subgroup, Group Theory (Proceedings of the Biennial Ohio State University Conference, May 1992), World Scientific, 1993,  pp. 21-29. Mathematical Reviews, MR97c:20043 (20E06, 20E28, 20D25) , March 1997, p. 1543.  Zentralblatt MATH, Zbl 0824.20028.

Mohammad K. Azarian, There May be More Than One Way to Find the Derivative of a Function, Missouri Journal of Mathematical Sciences, Vol. 5, No. 1, Winter 1993, pp. 13-15.  Zentralblatt MATH, Zbl 1097.26508.

Mohammad K. Azarian, On the Near Frattini Subgroup of the Amalgamated Free Product of Finitely Generated Abelian Groups, Houston Journal of Mathematics, Vol. 17, No. 3, 1991, pp. 425-427. Mathematical Reviews, MR92j:20018b (20E06), Oct. 1992, p. 5436.  Zentralblatt MATH, Zbl 743.20021.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Generalized Free Products With Cyclic Amalgamations, Houston Journal of Mathematics, Vol. 17, No. 3, 1991, pp. 419-423. Mathematical Reviews, MR92j:20018a ( 20E06), Oct. 1992, p. 5436.  Zentralblatt MATH, Zbl 743.20020.

Mohammad K. Azarian, On the Near Frattini Subgroups of Amalgamated Free Products of Groups, Houston Journal of Mathematics, Vol. 16, No. 3, 1990, pp. 523-528. Mathematical Reviews, MR92d:20032 (20E06, 20E28), April 1992, p. 1878.  Zentralblatt MATH, Zbl 742.20030.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups of Amalgamated Free Products of Groups I, Missouri Journal of Mathematical Sciences , Vol. 2, No. 3, Fall 1990, pp. 105-114.  Zentralblatt MATH, Zbl 1097.20510

Mohammad K. Azarian, The Generating Function for the Fibonacci Sequence, Missouri Journal of Mathematical Sciences, Vol. 2, No. 2, Spring 1990, pp. 78-79.  Zentralblatt MATH, Zbl 1097.11516.  Reviewed in College Mathematics Journal, Vol. 22, No. 4, September 1991, p. 354.

Mohammad K. Azarian, On the Lower Near Frattini Subgroups and Nearly Splitting Groups, Missouri Journal of Mathematical Sciences, Vol. 2, No. 1, Winter 1990, pp. 18-25.  Zentralblatt MATH, Zbl 1097.20513.

Mohammad K. Azarian, Mixture Problems in a Single Compartment System, appeared in the Proceedings of the Seventeenth Annual Mathematics and Statistics Conference, Miami University, Oxford, OH, Oct. 1989.

Mohammad K. Azarian, The Improper Integral from 0 to infinity of  sin x, as an Alternating Series, Pi Mu Epsilon Journal, Vol. 8, No. 8, Spring 1988, p. 521.

 

III. CONTRIBUTING EDITOR
 

 

 

Mohammad K. Azarian, Dictionary of Algebra, Arithmetic, and Trigonometry, a volume in the Comprehensive Dictionary of Mathematics, CRC Press, 2001.

 

IV. CO-EDITOR
 
Mohammad K. Azarian, Abstracts of Papers Presented at the Zassenhaus 2003 International Group Theory Conference, University of Evansville, March 2003.

 

V.  PROBLEMS


 

 

Mohammad K. Azarian, Golden Limit (P473), Math Horizons, Vol. XXXII, Issue 1, September 2024, p. 31. Solution wil be published in Vol. XXXIII, Issue 1, September 2024, pp. ??.

Mohammad K. Azarian, Problem 920, The Pentagon, Vol. 82, No. 2, Spring 2023, p. 22. Solution published in Vol. 83, No. 2, Spring 2024, pp. ??.

Mohammad K. Azarian, Problems 19.1-19.6, Unsolved Problems in Group Theory, The Kourovka Notebook, No. 19, 2018

Mohammad K. Azarian, Problem 775, The Pentagon, Vol. 75, No. 1, Fall 2015, p. 47.  Solution will be published in Vol. 76, No. 1, Fall 2016, pp. 32-33.

Mohammad K. Azarian, Problem 774, The Pentagon, Vol. 75, No. 1, Fall 2015, p. 47.  Solution will be published in Vol. 76, No. 1, Fall 2016, pp. 31-32.

Mohammad K. Azarian, Problem 762, The Pentagon, Vol. 74, No. 2, Spring 2015, p. 20.  Solution published in Vol. 75, No. 2, Spring 2016, p. 21.

Mohammad K. Azarian, Problem 755, The Pentagon, Vol. 74, No. 1, Fall 2014, p. 33.  Solution published in Vol. 75, No. 1, Fall 2015, pp. 53-54.

Mohammad K. Azarian, Problem 746, The Pentagon, Vol. 73, No. 2, Spring 2014, p. 26.  Solution published in Vol. 74, No. 2, Spring 2015, p. 26-27.

Mohammad K. Azarian, The Value of a Series of Reciprocal Fibonacci Numbers, Problem B-1133, Fibonacci Quarterly, Vol. 51, No. 3, August 2013, p. 275. Solution published in Vol. 52, No. 3, August 2014, pp. 277-278.

Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.

Mohammad K. Azarian, A "Loaded Divisibility" Problem, Problem B-1089, Fibonacci Quarterly, Vol. 49, No. 2, May 2011, p. 181. Solution published in Vol. 50, No. 2, May 2012, pp. 184-185.

Mohammad K. Azarian, Problem 670, The Pentagon, Vol. 70, No. 1, Fall 2010, p. 33. Solution published in Vol. 71, No. 1, Fall 2011, p. 57.

Mohammad K. Azarian, Problem 669, The Pentagon, Vol. 70, No. 1, Fall 2010, p. 33. Solution published in Vol. 71, No. 1, Fall 2011, p. 56.

Mohammad K. Azarian, Problem 1230, Pi Mu Epsilon Journal, Vol. 13, No. 2, Spring 2010, p. 116.  Solution published in Vol. 13, No. 4, Spring 2011, pp. 248-249.
.

Mohammad K. Azarian, Limit of a Sequence, Problem, B-1068, Fibonacci Quarterly, Vol. 48, No. 2, May 2010, p. 183.  Solution published in Vol. 49, No. 2, May 2011, p. 184.

Mohammad K. Azarian, Problem 173, Missouri Journal of Mathematical Sciences, Vol. 22, No. 1, 2010, p. 50.  Solution published in Vol. 23, No. 1, 2011, pp. 88-89.

Mohammad K. Azarian, Problem 1218, Pi Mu Epsilon Journal, Vol. 13, No. 2, Spring 2010, p. 116.  Solution published in Vol. 13, No. 3, Fall 2010, pp. 183-185.
.
Mohammad K. Azarian, Problem 654, The Pentagon, Vol. 69, No. 1, Fall 2009, p. 30.  Solution published in Vol. 70, No. 1, Fall 2010, p. 42.


Mohammad K. Azarian, Problem 653, The Pentagon, Vol. 69, No. 1, Fall 2009, p. 30.  Solution published in Vol. 70, No. 1, Fall 2010, p. 41.

Mohammad K. Azarian, Counting Sums of Nonnegative Integers, Problem H-678, Fibonacci Quarterly, Vol. 46/47, No. 4, November 2008/2009, p. 374.  Solution published in Vol. 48, No. 4, November 2010, pp. 376-377.

Mohammad K. Azarian, A Wicked Composition, Problem H-676, Fibonacci Quarterly, Vol. 46/47, No. 3, August 2008/2009, p. 284.  Solution published in Vol. 48, No. 3, August 2010, , pp. 287-288.

Mohammad K. Azarian, Double Progression, Problem 231, Math Horizons, Vol. 16, Issue 4, April 2009, p. 31.  Solution published in Vol. 17, Issue 2, November 2009, p. 32.

Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32.  Solution published in Vol. 16, Issue 2, November 2008, p. 32.

Mohammad K. Azarian, Problem 1183, Pi Mu Epsilon Journal, Vol. 12, No. 8, Spring 2008, p. 495.  Solution published in Vol. 12, No. 9, Fall 2008, pp. 573-574.

Mohammad K. Azarian, An Expression for Pi, Problem 870, College Mathematics Journal, Vol. 39, No. 1, January 2008, pp. 66.  Solution published in Vol. 40, No. 1, January 2009, pp. 62-64.

Mohammad K. Azarian, Three-Year Integral, Problem 212, Math Horizons, Vol. 15, Issue 1, September 2007, p. 39.  Solution published in Vol. 15, Issue 3, February 2008, p. 34.

Mohammad K. Azarian, Fixed Points of a Quadratic Polynomial, Problem 841, College Mathematics Journal, Vol. 38, No. 1, January 2007, p. 60.  Solution published in Vol. 39, No. 1, January 2008, pp. 66-67.

Mohammad K. Azarian, It Only Looks Complicated, Problem B-1018, Fibonacci Quarterly, Vol. 44, No. 2, May 2006, p. 182.  Solution published in Vol. 45, No. 1, February 2007, pp. 89-90.

Mohammad K. Azarian, Slopes of Tangents, Problem 817, College Mathematics Journal, Vol. 37, No. 1, January 2006, p. 255.  Solution published in Vol. 38, No. 1, January 2007, p. 63.

Mohammad K. Azarian, Forty-Five Nested Equilateral Triangles and csc1o, Problem 813, College Mathematics Journal, Vol. 36, No. 5, November 2005, p. 413-414.  Solution published in Vol. 37 , No. 5, November 2006, pp. 394-395.

Mohammad K. Azarian, A Limit Expression of 1/(e-1), Problem 799, College Mathematics Journal, Vol. 36, No. 2, March 2005, p. 161.  Solution
published in Vol. 37, No. 2, March 2006, pp. 147-148.

Mohammad K. Azarian, Problem 148, Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, p. 59.  Solution published in Vol. 17, No. 1, Winter 2005, pp. 58-61.

Mohammad K. Azarian, Find its Limit!, Problem B-968, Fibonacci Quarterly, Vol. 41, No. 5, November 2003, p. 466.  Solution published in Vol. 42, No. 3, August 2004, p. 280.

Mohammad K. Azarian, Problem 142, Missouri Journal of Mathematical Sciences, Vol. 15, No. 3, Fall 2003, p. 201.  Solution published in Vol. 16, No. 2, Spring 2004, pp.132-133.

Mohammad K. Azarian, Problem 1047, Pi Mu Epsilon Journal, Vol. 11, No. 7, Fall 2002, p. 391.  Solution published in Vol. 11, No. 9, Fall 2003, p. 505.

Mohammad K. Azarian, Problem 1045, Pi Mu Epsilon Journal, Vol. 11, No. 7, Fall 2002, p. 391.  Solution published in Vol. 11, No. 9, Fall 2003, p. 504.

Mohammad K. Azarian, A "Double Sum" Inequality, Problem B-915, Fibonacci Quarterly, Vol. 39, No. 1, February 2001, p.86.  Solution published in Vol. 39, No. 5, November 2001, p. 471.

Mohammad K. Azarian, Diophantine Pair, Problem B-881, Fibonacci Quarterly, Vol. 37, No. 3, August 1999, pp. 277-278.  Solution published in Vol. 38, No. 2, May 2000, pp. 183-184.

Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176.  Solution published in Vol. 12, No. 1, Winter 2000, pp. 61-62.

Mohammad K. Azarian, Problem 344, Mathematics and Computer Education, Vol. 32, No. 1, Winter 1998, p. 82.  Solution published in Vol. 33, No. 3, Fall 1999, pp. 288-289.

Mohammad K. Azarian, Problem 110, Missouri Journal of Mathematical Sciences, Vol. 9, No. 3, Fall 1997, p. 184.  Solution published in Vol. 10, No. 3, Fall 1998, pp. 183-184.

Mohammad K. Azarian, Problem 106, Missouri Journal of Mathematical Sciences, Vol. 9, No. 2, Spring 1997, p. 105.  Solution published in Vol. 10, No. 2, Spring 1998, pp. 124-129.

Mohammad K. Azarian, Problem 101, Missouri Journal of Mathematical Sciences, Vol. 9, No. 1, Winter 1997, p. 34.  Solution published in Vol. 10, No. 1, Winter 1998, pp. 48-49.

Mohammad K. Azarian, A Trigonometric Characterization of  Equilateral Triangle, Problem 336, Mathematics and Computer Education, Vol. 31, No. 1, Winter 1997, p. 96.  Solution published in Vol. 32, No. 1, Winter 1998, pp. 84-85.

Mohammad K. Azarian, Triple Rational Inequality, Problem B-816, Fibonacci Quarterly, Vol. 34, No. 4, August 1996, p. 373.  Solution published in Vol. 35, No. 3, Aug. 1997, pp. 279-280.

Mohammad K. Azarian, Power Series with Fibonacci Features, Problem B-806, Fibonacci Quarterly, Vol. 34, No. 1, Feb. 1996, p. 81.  Solution published in Vol. 35, No. 1, Feb. 1997, p. 89.

Mohammad K. Azarian, Geometric Series, Problem 329, Mathematics and Computer Education, Vol. 30, No. 1, Winter 1996, p. 101.  Solution published in Vol. 31, No. 2, Spring 1997, pp. 196-197.

Mohammad K. Azarian, Triple Threat, Problem H-507, Fibonacci Quarterly, Vol. 34, No. 1, Feb. 1996, p. 89.  Solution published in Vol. 35, No. 1, Feb. 1997, p. 96.

Mohammad K. Azarian, Problem 873, Pi Mu Epsilon Journal, Vol. 10, No. 3, Fall 1995, p. 229.  Solution published in Vol. 10, No. 5, Fall 1996, pp. 436-437.

Mohammad K. Azarian, Recurring Theme, Problem H-497, Fibonacci Quarterly, Vol. 33, No. 2, May 1995, p. 187.  Solution published in Vol. 34, No. 4, Aug. 1996, pp. 380-81.

Mohammad K. Azarian, A Maximum Area, Problem 324, Mathematics and Computer Education, Vol. 29, No. 2, Spring 1995, p. 212.  Solution published in Vol. 30, No. 2, Spring 1996, p. 218.

Mohammad K. Azarian, Equating Distances and Altitude in an Equilateral Triangle, Problem 316, Mathematics and Computer Education, Vol. 28, No. 3, Fall 1994, p. 337.  Solution published in Vol. 29, No. 3, Fall 1995, pp. 324-325.

Mohammad K. Azarian, Problem 69, Missouri Journal of Mathematical Sciences, Vol. 6, No. 2, Spring 1994, p. 98.  Solution published in Vol. 7, No. 2, Spring 1995, pp. 89-90.

Mohammad K. Azarian, An Expansion of e, Problem B-765, Fibonacci Quarterly, Vol. 32, No. 2, May 1994, p. 181.  Solution published in Vol. 33, No. 4, Aug. 1995, p. 377.

Mohammad K. Azarian, A Trigonometric Inequality, Problem 311, Mathematics and Computer Education, Vol. 28, No. 1, Winter 1994, p. 84.  Solution published in Vol. 29, No. 1, Winter 1995, pp. 96-97.

Mohammad K. Azarian, Problem 61, Missouri Journal of Mathematical Sciences, Vol. 5, No. 3, Fall 1993, p. 131.  Solution published in Vol. 6, No. 3, Fall 1994, pp. 161-163.

Mohammad K. Azarian, Problem 57, Missouri Journal of Mathematical Sciences, Vol. 5, No. 2, Spring 1993, p. 90.  Solution published in Vol. 6, No. 2, Spring 1994, pp. 99-101.

Mohammad K. Azarian, Identities Used to Simplify Sums and Series, Problem 309, Mathematics and Computer Education, Vol. 27, No. 2, Spring 1993, p. 160.  Solution published in Vol. 28, No. 3, Fall 1994, pp. 341-342.

Mohammad K. Azarian, Problem 54, Missouri Journal of Mathematical Sciences, Vol. 5, No. 1, Winter 1993, p. 39.  Solution published in Vol. 6, No. 1, Winter 1994, pp. 51-52.

Mohammad K. Azarian, Problem 49, Missouri Journal of Mathematical Sciences, Vol. 4, No. 3, Fall 1992, p. 145.  Solution published in Vol. 5, No. 3, Fall 1993, pp. 133-135.

Mohammad K. Azarian, Problem 45, Missouri Journal of Mathematical Sciences, Vol. 4, No. 2, Spring 1992, p. 88.  Solution published in Vol. 5, No. 2, Spring 1993, p.92.

Mohammad K. Azarian, Problem 42, Missouri Journal of Mathematical Sciences, Vol. 4, No. 1, Winter 1992, p. 27.  Solution published in Vol. 5, No. 1, Winter 1993, p. 45.

Mohammad K. Azarian, Substitute and Integrate, Problem 289, Mathematics and Computer Education, Vol. 25, No. 2, Spring 1991, p. 197.  Solution published in Vol. 26, No. 2, Spring 1992, pp. 196-198.

Mohammad K. Azarian, AM - GM Strikes Again, Problem 451, College Mathematics Journal, Vol. 22, No. 3, May 1991, p. 255.  Solution published in Vol. 23, No. 3, May 1992, pp. 248-249.

Mohammad K. Azarian, A Double Sum, Problem 440, College Mathematics Journal, Vol. 21, No. 5, Nov. 1990, p. 424.  Solution published in Vol. 22. No. 5, Nov. 1991, pp. 448-449.

Mohammad K. Azarian, Problem 25, Missouri Journal of Mathematical Sciences, Vol. 2, No. 3, Fall 1990, p. 140.  Solution published in Vol. 3, No. 3, Fall 1991, pp. 151-152.

Mohammad K. Azarian, Problem 734, Pi Mu Epsilon Journal, Vol. 9, No. 3, Fall 1990, pp. 192193.  Solution published in Vol. 9, No. 5, Fall 1991, pp. 324-325.

Mohammad K. Azarian, Limit of Nested Square Roots, Problem B-664, Fibonacci Quarterly, Vol. 28, No. 2, May 1990, p. 182.  Solution published in Vol. 29, No. 2, May 1991, p. 182.

Mohammad K. Azarian, A Bound for a Logarithm, Problem 427, College Mathematics Journal, Vol. 21, No. 3, May 1990, p. 246.  Solution published in Vol. 22, No. 3, May 1991, pp. 256-257.

Mohammad K. Azarian, Problem 22, Missouri Journal of Mathematical Sciences, Vol. 2, No. 2, Spring 1990, p. 80.  Solution published in Vol. 3, No. 2, Spring 1991, pp. 95-96.

Mohammad K. Azarian, A Divergent Improper Integral, Problem 423, College Mathematics Journal, Vol. 21, No. 2, March 1990, p. 150.  Solution published in Vol. 22, No. 2, March 1991, pp. 169-170.

Mohammad K. Azarian, Problem 692, Pi Mu Epsilon Journal, Vol. 8, No. 10, Spring 1989, p. 684.  Solution published in Vol. 9, No. 2, Spring 1990, p. 125.

Mohammad K. Azarian, Difference Equation, Problem B-636, Fibonacci Quarterly, Vol. 27, No. 1, Feb. 1989, p. 87.  Solution published in Vol. 28, No. 1, Feb. 1990, p. 87.

Mohammad K. Azarian, An Application of the Inequality on the Means, Problem B-635, Fibonacci Quarterly, Vol. 27, No. 1, Feb. 1989, p.87.  Solution published in Vol. 28, No. 1, Feb. 1990, pp. 86-87.

Mohammad K. Azarian, Always at Least One Solution, Problem B-629, Fibonacci Quarterly, Vol. 26, No. 4, Nov. 1988, p. 372.  Solution published in Vol. 27, No. 5, Nov. 1989, p. 469.

Mohammad K. Azarian,  Bounded Double Sum, Problem 381, College Mathematics Journal, Vol. 19, NO. 4, Sept. 1988.  Solution published in Vol. 21, No. 1, Jan. 1990, p. 69.

Mohammad K. Azarian, A Trigonometric Inequality, Problem 379, College Mathematics Journal, Vol. 19, No. 3, May 1988, p. 291.  Solution published in Vol. 21, No. 3, May 1990, pp. 248-249.

Mohammad K. Azarian, Problem 669, Pi Mu Epsilon Journal, Vol. 8, No. 8, Spring 1988, p. 533.  Solution published in Vol. 8, No. 10, Spring 1989, pp. 691-692.

Mohammad K. Azarian, Telescoping Series, Problem 361, College Mathematics Journal, Vol. 18, No. 5, Nov. 1987, p.425.  Solution published in Vol. 20, No. 4, Sept. 1989, p. 346.

 

VI.  ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES


 

 

Contributed over 1500 new sequences or comments to the On-Line Encyclopedia of Integer Sequences.

 

VII.  EDITORIAL BOARD - Member
 


 

The Iranian Journal of Mathematical Sciences and Informatics, 2017-present.

The Mathematics Interdisciplinary Research, 2017-present.

National Association of Mathematicians' Newsletter, 2010-2021.

Scientific Journals International, 2006-2012.

International Journal of Modern Mathematics, 2006-2008.

International Journal of Science and Technology, 2000-2003.


VIII. REFEREE



 

 

Missouri Journal of Mathematical Sciences

Houston Journal of Mathematics

International Journal of Mathematics and Mathematical Sciences

College Mathematics Journal

Ars Combinatoria

Journal of Integer Sequences

 
 
IX.  FULBRIGHT SCHOLAR PROGRAM


 

Selected as a Discipline Peer Reviewer for the Fulbright Scholar Program, sponsored by the United States Department of State's Bureau of Educational and Cultural Affairs, 2015-2018.

 
X.  MATHEMATICAL ASSOCIATION OF AMERICA AWARD


 

Recipient of the 2017 Mathematical Association of America-Indiana Distinguished Service Award.

 
XI.  INTERDISCIPLINARY PUBLICATIONS

 
 

Mohammad K. Azarian, Islamic Law: Myths and Realities, CJ International, Vol. 12, No. 3, May-June 1996, pp. 13-19. Co-authored with Dennis J. Wiechman and Jerry D. Kendall.

Mohammad K. Azarian, Islamic Courts and Corrections, International Journal of Comparative and Applied Criminal Justice, Vol. 19, No. 1, Spring 1995, pp. 33-46. Co-authored with Dennis J. Wiechman and Jerry D. Kendall.


 

XII. PROFESSIONAL MEMBERSHIPS


 
American Mathematical Society

Mathematical Association of America

National Association of Mathematicians

Pi Mu Epsilon National Honorary Mathematics Society (past President of the Missouri Gamma)

Kappa Mu Epsilon National Honorary Mathematics Society (faculty advisor of Indiana Delta, 1987-2015)