Dr. Daniel Joseph Galiffa


Associate (Tenured) Professor of Mathematics

Penn State Erie, The Behrend College






Benson 86

Penn State Erie, The Behrend College

4205 College Drive

Erie, PA 16563









·         Ph.D. in Mathematics, University of Central Florida, May 2009

·         M.S. in Mathematics, University of Central Florida, May 2006

·         B.S. in Mathematics with Physics Minor, Indiana University of PA, May 2004


















·         Pure and Applied Mathematical Analysis:

-Classical and Quantum Hypergeometric Orthogonal Polynomials

-Ordinary and Partial Differential Equations

-Functional Equations

-Difference Equations

-Numerical Analysis

-Mathematical Biology








·  Preface

·  Chapter Abstracts


Links to purchase the monograph:





Budgeted Price!





The work “Nonlocal Modeling of Insect Borne Diseases,” listed below, appears in

Chapter 8 of “Fevers: Types, Treatments and Health Risks,” Nova Science Publishers, Inc., 2013.


Link to purchase the book or chapter:







·      A Novel Way to Solve the Dq-Appell Equation, Applied Math E-Notes, with Boon W. Ong., p. 250-258, 2018.



·      An Elementary Approach to Characterizing Sheffer A-Type 0 Orthogonal Polynomial Sequences, with T. N. Riston*, Involve, 8, no. 1, p. 39-61, 2014.



·      An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases, with John R. Cannon, International Journal of Differential Equations, Volume 2014, Article ID 187685, 10 pages, 2014.



·      A Characterization of an Askey-Wilson Difference Equation, with Boon W. Ong, Journal of Difference Equations and Applications, 20, vol. 9, p. 1372-1381, 2014.



·      Two Differential Equations for the Linear Generating Function of the Charlier Polynomials, Applied Math E-Notes, with Elliot J. Blackstone*, 13, p. 60-67, 2013.



·      Nonlocal Modeling of Insect Borne Diseases, with John R. Cannon, in “Fevers: Types, Treatments and Health Risks,” Nova Science Publishers, Inc., 2013.


·      On the Higher-Order Sheffer Orthogonal Polynomial Sequences, Springer Briefs in Mathematics, Springer, New York, 2013.


·      An Epidemiology Model Suggested by Yellow Fever, with John R. Cannon, Mathematical Methods in the Applied Sciences, 35, p. 196-206, 2012.



·      On a Numerical Method for a Homogeneous, Nonlinear, Nonlocal, Elliptic Boundary Value Problem, with John R. Cannon, Journal of Nonlinear Analysis; Theory Methods and Applications, 74, no. 5, p. 1702-1713, 2011.



·      The Sheffer B-Type 1 Orthogonal Polynomial Sequences, Thesis (Ph.D.) University of Central Florida. 2009. 117 pp. ISBN: 978-1109-16162-5, Proquest ® LLC.



·       A Numerical Method for a Nonlocal Elliptic Boundary Value Problem, with John R. Cannon, Journal of Integral Equations and Applications, 20, no. 2, p. 243-261, 2008.



* Undergraduate student author




                                                RESEARCH ARTICLES


·         The Atomic Bomb (Manhattan Project)*


·         Pregnancy*


·         Aircraft Design*


*In The Encyclopedia of Mathematics and Society, published by Salem

  Press and produced by Golson Media, 2011




                                                WPSE RADIO INTERVIEW


To disseminate some of my recent work in Mathematical Biology and promote the Penn State Erie School of Science, the following segments appeared on the radio station WPSE:


·         The Professors

·         On Mathematical Analysis & Applications

·         On Epidemiology

·         The B.E.E.R. Conference

·         Penn State Erie ‘Badge’



Penn State Erie, The Behrend College has now become an official chapter of the national Mathematics honor society Pi Mu Epsilon. Pi Mu Epsilon is open to ANY major. For induction into our chapter, students are required to:


Ø Have completed at least MATH 140 and MATH 141 (Calculus I & II) and two additional courses in mathematics, at or above the calculus level, all of which lead to the fulfillment of the requirements for a major in the mathematical sciences


Ø Have maintained a grade point average of at least 3.00 in all mathematics courses that lead to the fulfillment of the requirements for a major in the mathematical sciences


Ø Have maintained a grade point average of at least 3.00 in all courses that lead to the fulfillment of the requirements for an undergraduate degree


I hold the position of Permanent Faculty Correspondent and Mr. Peter T. Olszewski, the Chapter Advisor (pto2@psu.edu). If you meet the requirements and are interested in becoming a member, please contact either of us.


We held our inaugural induction ceremony on 10-12-12 at the Logan House - Click here to see the Pamphlet.


                                                        CURRENT OFFICERS


President: Matt Lachesky

Vice President: Jeremiah Allshouse

Secretary: Benjamin Frances

Treasurer: Cody Colpo



      Inaugural Inductees




Student Inductees:

Nicholas Barr

Timothy Burbules

Matthew Erdman

Tyler Ewing

Mark Dombrowski

Jeremy Hall

Zachary Korzi

Gabriel Kramer

Phillip Kristufek

Matthew Kwitowski

Brian McKay

Nicholas Means

Tanya Riston

Jeffrey Scavo

Clay Schuman

Jacob Shaffer

Brittany Sypin

Robert Volkin

Seth Weible


Faculty Inductees:

Dr. Daniel Galiffa

Dr. Antonio Mastroberardino



Our second Pi Mu Epsilon induction ceremony took place on 4-27-13 in the Reed auditorium:


2013 Inductees



Student Inductees:

Gregory Adams
Jeremiah Allshouse
Katie Burbules
Cody Colpo

Benjamin Frances

Phillip Kristufek
Matt Lachesky
Mireille Mballa
Jon Moody
Kathleen Murzynski
Haley Sharp
Jarret Thompson
Stanley Tuznik
Alex Vallo


Faculty Inductees:

Paul Olson

Jennifer Ulrich



Our third Pi Mu Epsilon induction ceremony took place on 4-12-14 in the Otto Behrend Science Building:






Student Inductees:

Stefany M. Alexander

Dominick L. Ali

Nicholas M. Angelo

Thomas V. Arzenti

Marissa J. Baker

Nikki L. Campbell

Thomas G. Dauber

Nicholas J. Erich

Thomas Fisher

Lisa C. Giancola

Nathan M. Hannold

Samantha S. Key

Qiyang Li

Tulsa R. Lose

Matthew T. McWilliams

Mac J. Megahan

Joshua M. Natalie

Jared P. Pacella

Daniel J. Scutella

Nicholas P. Swanson

Alexia M. Teed

Tyler J. Tracy

Nicholas D. Vasko

Kara R. Wenzel

Amanda J. Wylie

Tyler J. Yost


Faculty Inductees:

Dr. Adam Combs

Dr. Amos Ong




Our Alpha Beta chapter is on the ‘New Chapter’ page:



For more information about Pi Mu Epsilon, see the official page: http://www.pme-math.org/






I am currently a faculty advisor for the Triangle Fraternity at Penn State Erie, The Behrend College.

Here is some information for those who want to know more:



Triangle Info

Recruitment Brochure 1

Recruitment Brochure 2






·         Daniel J. Galiffa, Ph.D. 2009, Advisor: Mourad E.H. Ismail

·         Mourad E.H. Ismail, Ph.D. 1974, Advisor: Waleed Al-Salam

·         Waleed Al-Salam, Ph.D. 1958, Advisor: Loenard Carlitz

·         Loenard Carlitz, Ph.D. 1930, Advisor: Howard Mitchell

·         Howard Mitchell, Ph.D. 1910, Advisor: Oswald Veblen

·         Oswald Veblen, Ph.D. 1903, Advisor: Eliakim Hastings Moore

·         Eliakim Hastings Moore, Ph.D. 1885, Advisor: H.A. Newton

·         H.A. Newton, B.S. Yale 1850, Advisor: Michel Chasles

·         Michel Chasles, Ph.D. 1814, Advisor: Simeon Poisson

·         Simeon Poisson, Advisor: Joseph Lagrange

·         Joseph Lagrange, Ph.D. Advisor: Leonhard Euler


Source: http://www.genealogy.ams.org





Sources: http://www.oakland.edu/enp/ & http://www.ams.org/mathscinet/collaborationDistance.html?group_source=842388   




Sources: http://www.ams.org/mathscinet/collaborationDistance.html?group_source=842388





·         Penn State Erie Mathematics Department: http://psbehrend.psu.edu/school-of-science/academic-programs-1/mathematics 

·         Penn State Erie Mathematics Minor: http://psbehrend.psu.edu/school-of-science/academic-programs-1/mathematics/curriculum/mathematics-minor

·         Penn State Erie Mathematics Course Descriptions: http://bulletins.psu.edu/bulletins/bluebook/university_course_descriptions.cfm?letter=M&dept=MATH

·         Mathematical Association of America: http://www.maa.org/

·         American Mathematical Society: http://www.ams.org/

·         MathSciNet: http://www.ams.org/mathscinet/

·         The University of Central Florida: http://www.ucf.edu/

·         The Young Mathematician’s Network: http://www.youngmath.net/

·         Society of Industrial and applied Mathematics (SIAM): http://www.siam.org/

·         Kappa Mu Epsilon: http://www.kappamuepsilon.org/

·         “When will I Ever Use Math?” http://weusemath.org/

·         Behrend Math Blog: http://www.personal.psu.edu/mar36/blogs/behrend_math_blog/

·         Careers in Mathematics (from SIAM): http://www.personal.psu.edu/axm62/siam-math-careers.pdf

·         Why you can’t divide by zero: http://www.youtube.com/watch?v=mcJRKLr68XQ





·         TeXNiCenter: http://www.texniccenter.org/

·         MiKTeX: http://miktex.org/

·         The Not So Short Introduction to LATEX2ε

·         The Comprehensive LaTeX Symbol List





·         Graduation from UCF

·         UCF Reception

·         Graduation from IUP

·         Lake Erie Sunset





·         Bob Dylan’s Official Webpage: http://www.bobdylan.com/

·         Jeff Beck’s Official Webpage: http://www.jeffbeck.com/

·         Jeff Beck’s Unofficial Webpage: http://www.ainian.com/

·         Aerosmith’s Official Webpage: www.aerosmith.com/

·         Joe Perry’s Official Webpage: http://www.joeperry.com/











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