
Mohammad K. Azarian, Mathematics Contributions of `Abd al`Ali
alBirjandi [Birjandi], accepted for presentation at the joint annual
meeting of the American Mathematical Society and
Mathematical Association of America, Atlanta, Georgia, January 47,
2017. Abstracts of Papers Presented to the American
Mathematical Society, Vol. 38, No. 1, Winter 2017, to appear.
Mohammad K. Azarian, Nizam alDin `Abd al`Ali ibn Muhammad ibn
Husain alBirjandi, a 16th Century Polymath Genius, presented at the
joint annual meeting of the American Mathematical Society
and Mathematical Association of America, Seattle,
Washington, January 9, 2016, #111601779, p. 180. Abstracts
of Papers Presented to the American Mathematical Society, Vol. 37,
No. 1, Issue 183, #111601779, Winter 2016, p. 16. Mohammad K. Azarian, A Medieval Calculation of Sine of One Degree
by Ghiyath alDin Jamshid Mas'ud alKashi (d. 1429), presented at the
joint annual meeting of the American Mathematical Society
and Mathematical Association of America, San Antonio, TX,
January 13, 2015, #1106011120, p. 192. Abstracts of Papers
Presented to the American Mathematical Society, Vol. 36, No. 1,
Issue 179, #1106011120, 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
alwatar wa'l jaib ("The Treatise on the Chord and Sine"), presented at
the joint annual meeting of the American Mathematical Society
and Mathematical Association of America, Baltimore, MD,
January 18, 2014, #1096011419, p. 156. Abstracts of Papers
Presented to the American Mathematical Society, Vol. 35, No. 1,
Issue 175, #1096011419, 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, #109411350, p. 27. Abstracts
of Papers Presented at the 1094th meeting of the American Mathematical
Society, Washington University, St. Louis, MO, October 19, 2013,
#109411350, p. 64. Mohammad K. Azarian, Fibonacci and Lucas Identities as Binomial Sums,
presented at the joint annual meeting of the American Mathematical
Society and Mathematical Association of America,
San Diego, CA, January 9, 2013, #108611362. Abstracts of Papers
Presented to the American Mathematical Society, Vol. 34, No. 1,
Issue 171, #108611362, Jan. 2013, p. 63. Mohammad K. Azarian,
Jensen's Inequality Versus Algebra in Finding the Exact Maximum,
presented at the joint annual meeting of the
American Mathematical Society
and Mathematical Association of America, Boston, MA, Jan.
2012. Notices of the American Mathematical Society,
Vol. 59, No. 1, #1077VL610, Jan. 2012, p. 233. Abstracts of
Papers Presented to the American Mathematical Society, Vol. 33, No.
1, Issue 167, #1077VL610, Jan. 2012, p. 530.
Mohammad K. Azarian, A Differential Equation With Many Faces,
presented at the joint annual meeting 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, #1067Z1229, Jan. 2011, p. 202.
Abstracts
of Papers Presented to the American Mathematical Society, Vol. 32,
No. 1, Issue 163, #1067Z1229, 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 meeting 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, #105620371, Jan. 2010, p. 118.
Abstracts of
Papers Presented to the American Mathematical Society, Vol. 31, No.
1, Issue 159, #105620371, Jan. 2010, p. 93.
Mohammad K. Azarian, AlRisala alMuhitiyya
II (The Treatise on the Circumference), presented at the joint
annual meeting of the American Mathematical Society and Mathematical
Association of America, Washington, DC, Jan. 2009.
Notices of the American Mathematical Society,
Vol. 56, No. 1, #104601649, Jan. 2009, p. 120. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 30, No. 1, Issue 155, #104601649, Jan. 2009, p. 11.
Mohammad K. Azarian,
AlRisala alMuhitiyya (The Treatise on the Circumference), presented at the
joint annual meeting 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, #10350248, Jan. 2008, p. 122.
Abstracts of Papers Presented to the American Mathematical Society, Vol. 29,
No. 1, Issue 151, #103501248, 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, #10331145, Murfreesboro, TN,
November 2007. Abstracts of Papers Presented to the American Mathematical
Society, Vol. 28, No. 4, #10331145, 2007.
Mohammad K. Azarian, On the Fixed Points
of a Function and its Corresponding Composite Functions, presented at
the joint annual meeting 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,
#102365513, Jan. 2007, p. 175. Abstracts of Papers Presented to
the American Mathematical Society, Vol. 28, No. 1, Issue 147,#102365513, 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 meeting 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, #101420735, Jan. 2006, p. 159.
Abstracts of Papers Presented to the American Mathematical Society,
Vol. 27, No. 1, Issue 143, #101420735, Jan. 2006, p. 74.
Mohammad K. Azarian,
Another Approach to Kashani's
Fundamental Theorem,
presented at the joint annual meeting of the American Mathematical Society
and Mathematical Association of America, Atlanta, GA, Jan. 2005. Notices of the American
Mathematical Society, Vol.
52, No.
1, #100301942, Jan. 2005. Abstracts of Papers Presented to the
American Mathematical Society,
Vol. 26, No. 1, Issue 139, #100301492, 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 meeting
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, #9730186, Jan. 2002, p. 112.
Abstracts of Papers Presented to the American Mathematical Society,
Vol. 23, No. 1, Issue 127, #9730186, 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 2122, 2001.
Abstracts of Papers Presented to the 965th Meeting of the American Mathematical Society,
Vol. 22, No. 2, #96511100, 2001.
Mohammad K. Azarian,
On the Upper Near Frattini Subgroups of Free Products of Groups With or
Without Amalgamations, presented at the joint annual meeting 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, #95020176, Jan. 2000, p. 131. Abstracts of Papers
Presented to the American Mathematical Society,
Vol. 21, No. 1, #95020176, Jan. 2000, p. 65.
Mohammad K. Azarian,
PascalLike 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 meeting of
the American Mathematical Society and Mathematical Association of America,
Baltimore, MD, Jan. 1998. Notices of the American Mathematical Society, Vol. 45, No. 1,
#93020102, Jan. 1998, p. 178. Abstracts of Papers Presented to
the American Mathematical Society,
Vol. 19, No. 1, #93020102, 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 meeting 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 (91820144),
Jan. 1997, p. 143. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 18, No. 1, # 91820144, 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, RoseHulman
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
UniversityDenison Mathematics Conference, Granville, OH, May 1996.
Report on the XXIIIrd Ohio StateDenison 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 meeting 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
(90820179), Jan. 1996, p. 139. Abstracts of Papers Presented to
the American Mathematical Society,
Vol. 17, No. 1, # 90820179, Jan. 1996, p. 50.
Mohammad K. Azarian,
On the Near Frattini Subgroup of Certain Groups, presented at the
joint summer annual meeting of the American Mathematical Society and
Mathematical Association of America, Burlington, Vermont, Aug.
1995. Notices of the American Mathematical Society, Vol. 42, No. 8, # 255 (90220118), Aug.
1995, p. 945. Abstracts of Papers Presented to the Abstracts of
Papers Presented to the
American Mathematical Society, Vol. 16, No. 3, # 90220118, 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 meeting 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, #
89720151, Jan. 1995, p. 161. Abstracts of Papers Presented to the
American Mathematical Society,
Vol. 16, No. 1, # 89720151, Jan. 1995, p. 68.
Mohammad K. Azarian,
Ghiyath uddin Jamshid Kashani: Talkhieth almeftah, presented at the
Midwest Math History Conference V, University of Indianapolis,
Indianapolis, IN, Oct. 1994.
Mohammad K. Azarian,
Ghiyath uddin 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 StateDenison
Mathematics Conference, Department of Mathematics, The Ohio State
University, March 1994.
Mohammad K. Azarian, Ghiyath uddin Jamshid Kashani: Meftah alhesab, presented at the
joint annual meeting 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(8890184), Dec. 1993, p.
1407. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 15, No. 1, # 8890184, 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 (10481131): Mathematician, Astronomer, Poet,
presented at the joint annual meeting 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 (8780133),
Dec. 1992, p. 1218. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 14, No. 1, # 8780133, 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 StateDenison 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 meeting 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 (8712011), Dec. 1991, p. 1280.
Abstracts of Papers
Presented to the American Mathematical Society,
Vol. 13, No. 1, # 8712011, 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(8642042), March 1991, p. 207. Abstracts of Papers Presented to
the American Mathematical Society,
Vol. 12, No. 2, # 8642042, 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 meeting 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(8542055), Dec. 1989, p. 1392.
Abstracts of Papers Presented to the American Mathematical Society,
Vol. 11, No. 1, # 8542055, 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 meeting 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(8472028), Dec. 1988 p. 1541. Abstracts of Papers Presented to
the American Mathematical Society,
Vol. 10, No. 1, # 8472028, Jan. 1989, pp. 3435.
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 meeting 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(83920471),
Jan. 1988, p. 116. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 9, No. 1, # 83920471, 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 meeting 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(83120102),
Jan. 1987, p. 90. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 8, No. 1, # 83120102, Jan. 1987, p. 32.
Mohammad K. Azarian,
Lower Near Frattini Subgroups of Amalgamated Free Products of Groups,
presented at the joint annual meeting 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(82520240),
Jan. 1986, p. 97. Abstracts of Papers Presented to the American Mathematical Society,
Vol. 7, No. 1, # 82520240, Jan. 1986, p. 37.
Mohammad K. Azarian,
Near Frattini Subgroups of Amalgamated Free Products of Groups,
presented at the joint annual meeting 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(81620183), Jan. 1985, p. 57.
Abstracts of Papers Presented to the American Mathematical Society,
Vol. 6, No. 1, # 81620183, Jan. 1985, p. 38.


Mohammad K. Azarian, `Abd al`Ali alBirjandi [Birjandi],
Encyclopedia of Islam Three, to appear.
Mohammad K. Azarian, A Study of Risala alWatar wa'l Jaib
("The Treatise on the Chord and Sine"), Forum Geometricorum,
Volume 15 (2015) 229242. 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.
68056807. Mathematical Reviews, MR 2997597.
Mohammad K. Azarian, On Bernoulli’s Differential Equation,
Applied Mathematical Sciences, Vol 6, No. 137, 2012, pp. 67996803.
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. 22212227.
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. 20532059. 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.
18711876. 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. 10951102. 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.
29492954. 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. 105109. 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. 115. Mathematical
Reviews, MR2780996 (2012d:20067). Zentralblatt MATH,
Zbl 1242.20032.
Mohammad K. Azarian, The Second
Ptolemy: Persia's Fifteenth Century Mathematical GeniusGhiyath AlDin
Jamshid Mas'ud AlKashi, National Association of
Mathematicians' Newsletter, Vol. 42, No. 1, Spring 2011, pp. 34.
Mohammad K. Azarian, AlRisala
alMuhitiyya: A Summary, Missouri Journal of Mathematical
Sciences, Vol. 22, No. 2, 2010, pp. 6485. 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 AlRisala alMuhitiyya: An English Translation,
International Journal of Pure and Applied Mathematics, Vol. 57, No.
6, 2009 , pp. 903914. 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.
3744. 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. 251257. 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. 377385. Mathematical
Reviews, MR2230953 (2008b:20032), February 2008. Zentralblatt
MATH, Zbl 1122.20011.
Mohammad K. Azarian, AlKashi's Fundamental Theorem,
International Journal of Pure and Applied Mathematics, Vol. 14, No. 4,
2004, pp. 499509. 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.
1217. 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. 117121. Mathematical
Reviews, MR2002b:20031 (20E6, 20E26), February 2002, p. 924.
Zentralblatt MATH, Zbl 1053.20024.
Mohammad K. Azarian, Meftah alhesab: A Summary, Missouri Journal of Mathematical Sciences, Vol. 12, No. 2, Spring 2000, pp. 7595. 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 uddin Jamshid Kashani,
Journal of Recreational Mathematics, Vol. 29, No. 1, 1998, pp. 3241.
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. 603612. 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. 613615. 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. 2428, 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. 5568. 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. 110. 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. 555560. 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. 499504. 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, ISBN 9810214197, pp. 2129. 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. 1315. 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. 425427.
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. 419423. 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. 523528. 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. 105114. 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. 7879. 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. 1825.
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.


Mohammad K. Azarian, Problem 762, The Pentagon,
Vol. 74, No. 2, Spring 2015, p. 20. Solution will be published in Vol.
75, No. 2, Spring 2016, p. ?.
Mohammad K. Azarian, Problem 755, The Pentagon,
Vol. 74, No. 1, Fall 2014, p. 33. Solution will be published in Vol. 75,
No. 1, Fall 2015, p. ?
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. 2627.
Mohammad K. Azarian, The Value of a Series of
Reciprocal Fibonacci Numbers, Problem B1133, Fibonacci
Quarterly, Vol. 51, No. 3, August 2013, p. 275. Solution published
in Vol. 52, No. 3, August 2014, pp. 277278.
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.
340342.
Mohammad K. Azarian, A "Loaded Divisibility" Problem,
Problem B1089, Fibonacci Quarterly, Vol. 49, No. 2,
May 2011, p. 181. Solution published in Vol. 50, No. 2, May 2012, pp.
184185.
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. 248249. .
Mohammad K. Azarian, Limit of a Sequence, Problem,
B1068, 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. 8889.
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.
183185.
. 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 H678, Fibonacci
Quarterly, Vol. 46/47, No. 4, November 2008/2009, p. 374. Solution
published in Vol. 48, No. 4, November 2010, pp. 376377.
Mohammad K. Azarian, A Wicked
Composition, Problem H676, Fibonacci Quarterly, Vol.
46/47, No. 3, August 2008/2009, p. 284. Solution published in Vol. 48, No. 3,
August 2010, , pp. 287288.
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. 573574.
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. 6264.
Mohammad K. Azarian, ThreeYear 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. 6667.
Mohammad K. Azarian, It Only Looks Complicated, Problem B1018,
Fibonacci Quarterly, Vol. 44, No. 2, May 2006, p. 182. Solution
published
in Vol. 45, No. 1, February 2007, pp. 8990.
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, FortyFive Nested Equilateral Triangles and csc1^{o},
Problem 813, College Mathematics Journal, Vol. 36, No. 5,
November 2005, p. 413414. Solution published in Vol. 37 , No. 5, November
2006, pp. 394395.
Mohammad K. Azarian, A Limit Expression of 1/(e1),
Problem 799,
College Mathematics Journal, Vol. 36, No. 2, March 2005, p. 161. Solution
published in Vol. 37, No. 2, March 2006, pp. 147148.
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. 5861.
Mohammad K. Azarian,
Find its Limit!,
Problem B968, 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.132133.
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 B915, 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 B881, Fibonacci Quarterly, Vol. 37, No. 3, August
1999, pp. 277278. Solution
published in Vol. 38, No. 2, May 2000, pp.
183184.
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. 6162.
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.
288289.
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. 183184.
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. 124129.
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. 4849.
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. 8485.
Mohammad K. Azarian,
Triple Rational Inequality,
Problem B816, Fibonacci Quarterly, Vol. 34, No. 4, August
1996, p. 373. Solution
published in Vol. 35, No. 3, Aug. 1997, pp. 279280.
Mohammad K. Azarian,
Power Series with Fibonacci Features,
Problem B806, 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. 196197.
Mohammad K. Azarian,
Triple Threat, Problem H507, 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. 436437.
Mohammad K. Azarian, Recurring Theme,
Problem H497, Fibonacci Quarterly, Vol.
33, No. 2, May 1995, p. 187. Solution
published
in Vol. 34, No. 4, Aug. 1996,
pp. 38081.
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. 324325.
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. 8990.
Mohammad K. Azarian,
An Expansion of e, Problem B765, 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.
9697.
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. 161163.
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. 99101.
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. 341342.
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. 5152.
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. 133135.
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. 196198.
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. 248249.
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. 448449.
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. 151152.
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. 324325.
Mohammad K. Azarian, Limit of Nested Square Roots,
Problem B664, 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. 256257.
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. 9596.
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.
169170.
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 B636, 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 B635, Fibonacci
Quarterly, Vol. 27, No. 1, Feb. 1989, p.87. Solution
published in Vol.
28, No. 1, Feb. 1990, pp. 8687.
Mohammad K. Azarian,
Always at Least One Solution,
Problem B629, 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. 248249.
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. 691692.
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.
