The
Laplace Transform Simplifies an Integral, (with
A. Amdeberhan), American Mathematical Monthly,
130(4), 385- 394, 2023.
On
Proofs of Generalized Knuth's Old Sum (with A. Zeleke), INTEGERS: Electronic Journal
of Combinatorial Number Theory, #A99, 2023.
2020/21
On Proofs of Combinatorial
Identities, (with R. Bianconi, M. Elia, A.
Zeleke), Involve,
14(4), 697-702, 2021
2017/18
A Hypergeometric Identity,
American Mathematical Monthly,Problems & Solutions, 125(7), 660 - 668,
2018.
2013/14
Proofs of Ruehr’s Identities, (with S.Meehan, M. Weselcouch,
and A. Zeleke), INTEGERS:
Electronic Journal of Combinatorial Number Theory,
#A10, 2014.
Curious Relations and Identities Involving the Catalan
Generating Function and Numbers, (with A. Nkwanta), Journal of Integer Sequences,
Vol. 16 (2013), Article 13.9.5.
2011/12
Computerized proof techniques for undergraduates, (with C.
J. Smith and A. Zeleke), International
Journal
of Mathematical Education in Science &Technology,
DOI:10.1080/0020739X.2011.644335, 2012.
2010/11
Combinatorial and Automated Proofs of Certain Identities,
(with J. Brereton, A. Farid, M. Karnib, G, Marple, A.
Quenon), Electronic Journal of Combinatorics, Vol.
18(2), P14, 2011.
A Wilf-Zeilberger Approach to Sums of Choi, Zörnig and
Rathie (with S. Dahlberg and T. Ferdinands), Quaestiones
Mathematicae, Vol. 33, 2010, 341-346.
On Representation of Certain Real Numbers
Using Combinatorial Identities (with A. Zeleke, G.
Grossman), International Journal of Pure and Applied
Mathematics, Vol. 55, no. 3, 2009, 451-460.
Freshman Rules in Calculus (with A.
Zeleke), International Journal of Mathematics
Education in Science and Technology, 99999:1, 2009.
On proofs of certain combinatorial
identities (with A. Zeleke, G. Grossman), Congressus
Numerantium, Proceedings of the 11th International
Conference on Fibonacci Numbers and their Applications,
Braunschweig, Germany, 194, 2009, 123-128.
2008/09
The Naï ve Product Rule for Derivatives,
(with C. Gay and A. Zeleke), College Math. J,
39(2008) 145-148.
2005-07
Summation Identities for Representation of
Certain Real Numbers, (with G. Grossman and A. Zeleke), International
Journal
of Mathematics and Mathematical Sciences, Volume
2006, Article ID 78739, 8 pages.
2003/04
Enhancing Core Mathematics Courses,(with E.
Billings, S. Schlicker, and K. Novtony), PRIMUS,
XIV:3 (2004), 230-252.
2002
A new triple sum combinatorial
identity(with Joseph Sinyor ),International Journal of
Mathematics and Mathematical Sciences, 31:12 (2002),
761-763.
MultInt, a Maple Package for Multiple
Integration by the WZ Method, Journal of Symbolic
Computation, 34:5 (2002), 329-353.
2000/01
A new combinatorial identity(with Joseph
Sinyor and Ted Speevak),Interrnational Journal of
Mathematics and Mathematical Sciences, 25:26(2001)
361-363.
1999
A Multiple Integral Evaluation Inspired by
The Multi-WZ Method ,Electronic Journal of
Combinatorics, N2, Vol. 6 (1), 1999.
MultInt, a Maple package for
Multiple Integration of proper-hypergeometric functions by the
continuous version of the multi-WZ Method. The file name of
the package is called MultInt.mpl . It is
accessible in MAPLE 8 and above. To
use it, download the file:
To have access to the help database, set libname
to libname:=libname,`directory path` . Here directory
path, denotes the location of where maple.hdb
resides. To see the current values of the libname,
type libname; in a Maple session. Old
versions
of MultInt are still available.
Conference
Presentations/Attendance
The
annual meeting of Michigan Section of the MAA and MichMATYC, GVSU,
April 3-4, 2020.
The
Annual Meeting of Michigan Section of the MAA and MichMATYC, Alma
College, March 31- April 1, 2023.
The Annual Joint
Mathematics Meetings, Atlanta, GA, January
4-7, 2016.
On Proofs of Certain Combinatorial
Identities, talks given at the AMS Sectional
Meeting-Loyola University Chicago, October 3, 2015.
2014 Fall Teaching
Conference, GVSU, August, 2014.
The 12th International
Permutation Patterns Conference, East Tennessee State
University, Johnson City, TN,
July 7-11, 2014.
The Annual Joint Mathematics
Meetings, Baltimore, MD, January 15-18, 2014.
2013 Fall Teaching
Conference, GVSU, August, 2013.
The Annual Joint Mathematics
Meetings, San Diego, CA, January 9-12, 2013.
2012 Fall Teaching
Conference, GVSU, August, 2012.
Michigan REU Conference,
Michigan State University, July 13, 2012.
The annual meeting of
Michigan Section of the MAA and MichMATYC, Western
Michigan University, Kalamazoo, MI, May 6-7, 2011.
A Wilf-Zeilberger Approach
to Sums of Choi, Zornig and Rathie, a talk given at the
Annual Joint Mathematics Meetings, New Orleans, LA,
January 6, 2011.
2010 Fall Teaching
Conference, GVSU, August, 2010.
MathFest, Summer MAA
Meetings, Pittsburgh, PA, August 5-7. 2010.
Central Michigan and
Michigan State Universities REU Conference, Central
Michigan University, July, 2010.
On Proofs Certain Summation Identities, talks given
at the GVSU Math Dept. Research Seminar, April, 2010.
Combinatorial Proofs of Certain Identities, talks
given at the 2010 Joint Mathematics Meet- ings, San Francisco,
CA, January 13, 2010.
Computerized Proof Techniques (part I and II), talks
given at the Addis Ababa University, Ethiopia, April, 2009
LaTeX tutorial, workshop given to the 2009 REU
participants, GVSU, June 15, 2009.
Computerized and Combinatorial Proof Techniques,
talks given to the 2009 REU participants,June 15, 2009.
Michigan REU Conference, Central Michigan University, July 20,
2009.
2009 Fall Teaching Conference, GVSU, August 26, 2009.
Grading Tactics, a workshop held at GVSU, August 23, 2009.
MathFest, Summer MAA Meetings, Portland, OR, August 6-8, 2009.
The 12th Annual Michigan Undergraduate Mathematics Conference
(MUMC), Wayne State University, October 17, 2009, Detroit, MI.
Introductory Workshop on Combinatorial
Representation Theory, The Mathematical Sciences
Research Institute (MSRI), Brekeley, CA, Jan. 22-25, 2008.
AMS Special Session on Applications of
Computer Algebra in Enumerative and Algebraic Combinatorics,Joint
Mathematics Meetings San Diego, CA, January 6-9, 2008.
Michigan Undergraduate Mathematics
Conference (MUMC), Michigan State University, October
27, 2007, East Lansing, MI.
19th International Conference on Formal
Power Series and Algebraic Combinatorics, Nankai
University, Tianjin, China, July 2-6, 2007.
The Annual Joint Mathematics Meetings,
January 5-8, 2007, New Orleans, LA.
Discrete Math Days in the Northeast,
College of the Holy Cross. November 11, 2006.
Special Session on Algebraic and Analytic
Combinatorics, 2006 Fall Eastern Section Meeting Storrs,
CT, October 28-29, 2006.
On Proofs of Certain Combinatorial
Identities, poster presentation at the 2006 Harvey Mudd
College Mathematics Conference on Enumerative Combinatorics,
Oct. 7, 2006, Claremont, California.
On Proofs of Certain Combinatorial
Identities, talk given at the annual Joint Meetings,
January 13, 2006, San Antonio, TX.
MathFest 2005, August 4-6, 2005,
Albuquerque, NM.
On Proofs of Certain Combinatorial
Identities, talk given at the annual meeting of Michigan
Section of the MAA and MichMATYC, April 29, 2005, Alma, MI.
Michigan Undergraduate Mathematics
Conference (MUMC), Central Michigan University, October
30, 2004, Mt Pleasant, MI.
Building Connections Between High School and
College Discrete Mathematics, a workshop given (with K.
Novtony) at the 2004 MCTM Conference (Renaissance Visions :
Connecting Mathematics), October 29, 2004, Detroit, MI.
MultInt: A Maple Package for Multiple
Integration, a talk given at the 2004 Maple Summer
WorkShop, July 11-14, 2004, Wilfrid Laurier University,
Waterloo, ON, Canada.
A Brief Tour of MultInt: A Maple Package for
Multiple Integration, a talk given at the 2004 East
Coast Computer Algebra Day(ECCAD), May 8, 2004, Wilfrid
Laurier University, Waterloo, ON, Canada.
Enhancing Discrete Mathematcis, talk
given (with D. Coffey and K. Novtony) at the Conversation
Among Colleagues: Collaborating to Improve the Mathematical
Education of Our Students Conference held at Grand Valley
Univ, March 20, 2004.
Stat/Math Teacher Education: Assessment,
Methods, and Strategies (TEAMS) Conference, October
30-November 1, 2003, University of Georgia, Athens, GA.
Enhancing the Mathematical core, talk
given at the annual meeting of Michigan Section of the MAA and
MichMATYC, May 3, 2003, Saginaw Valley State University,
University Center, MI.
DIMACS 2002 Reconnect Conference, August
11-17, 2002, Piscataway, NJ.
Mathfest, Summer MAA Meetings, August
2-4, 2002, Burlington, VT.
DIMACS (the Center for Discrete Mathematics
and Theoretical Computer Science) 2002 Reconnect Program,
August 11-17, 2002 ,Piscataway, NJ.
Pew FTLC workshop on "Teaching in America",
October 16, 2002 , GVSU.
Michigan Undergraduate Mathematics
Conference (MUMC), February 16, 2002, Calvin College,
Grand Rapids, MI .
The Annual Joint Mathematics Meetings,January
6-9,
2002 San Diego, CA.
Mathfest, Summer MAA Meetings, August
2-4, 2001, Madison, WI.
MultInt, a Maple Package for Multiple
Integration by the WZ Method, ,talk will be given at the
Joint Mathematics Meetings, AMS Special Session on Integrals
and Series Throughout Mathematics, January 10, 2001, New
Orleans.
Complete Automation of the Continuous Multi-WZ
Method,talk given at the AMS-MAA-SIAM Joint Mathematics
Meetings, The Difference Equations and Their Applications in
Social and Natural Sciences I Special Session, January 21,
2000, Washington, DC.
A Tutorial on Mint,(with Prof. Doron
Zeilberger) at a Conference on Symbolic Computation, Number
Theory, Special Functions, Physics and Combinatorics ,
University of Florida, November 12, 1999.
Towards Complete Automation of the Continuous
Multi-WZ,talk given at the 1999 Seaway Number Theory
Conference, Penn Sate University, March 27-28, 1999.
Multi-Variable Rational Functions,talk given
at the AMS-IMS-SIAM Joint summer Research Conference on
q-series, combinatorics and computer algebra (June
21-25,1998), Mount Holyoke College, South Hadley, MA.
Talks given at Departmental
Colloquiums
Central
Michigan University Math Dept. Seminar, Combinatorial
and Computerized Proofs of Ruehr’s Identities, invited
colloquium talk, April 7, 2017.
GVSU Math Dept. Seminar, On Proofs Certain Summation
Identities, April 1, 2010.
GVSU Math Dept., My Sabbatical
Experience at MIT, November 6, 2007.
University of Massachusetts Boston Math
Dept., Computer-generated and Combinatorial Proofs of
Certain Identities, invited colloquium talk, March 26, 2007.
Central Michigan University Math Dept.,
On Proofs of Certain Combinatorial Identity, invited
colloquium talk, October 13, 2006.
GVSU Math Dept., Hypergeometric
Summations with Computers,(with student Chris Smith), October
18, 2005.
GVSU Math Dept., Enhancing Math 345,
April 2003.
Calvin College, Proving Binomial Single-
Sum Identities by using Computer-An Introduction to the WZ
Method, December 5, 2002, Grand Rapids, Mi
GVSU Math Dept. Seminar, Introduction to
Voronoi Diagrams and their Applications, October 2002,
Allendale, Mi.
Alma College , Proving and Discovering
Mathematical Identities by using a Computer! - A Quick
Introduction to the WZ Method, March 2002, Alma, MI.
Grand Valley Sate University Math/Stat Club,
Can a Computer Prove Theorems?- A Quick Intoduction to the WZ
Method, , Nov. 8, 2000, Allendale, MI.
Grand Valley Sate University Mathematics
Colloquium, Complete Automation of the Continuous
Multi-WZ Method, , Feb. 22, 2000, Allendale, MI.
Moravian College Mathematics Colloquium,
A Quick Review of the WZ Theory, , Feb. 18, 2000, Bethlehem,
PA.
Colorado College Mathematics Colloquium,Complete
Automation
of the Continuous Multi-WZ Method,talk given at , Feb. 15,
2000, Colorado Springs, Colorado.
Colorado College Mathematics Colloquium,
A Quick Review of the WZ Theory, Feb. 14, 2000, Colorado
Springs, Colorado.