Proceedings of the 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-16): June 13-17, 2022, Centre de recherches mathématiques, Montréal, Québec, Canada

by Howard S. Cohl (Editor), Luc Vinet (Editor), Sarah Post (Editor), Josée Savard (Editor)

Overview

This proceedings provides a forum for mathematicians, physicists, and computational scientists to communicate and discuss recent research results in the areas of orthogonal polynomials and special functions. This symposium is an event of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. The activity group promotes basic research in orthogonal polynomials and special functions, as well as applications of this subject in other parts of mathematics, and in science and industry. It encourages and supports the exchange of information, ideas, and techniques between researchers in this field and other mathematicians and scientists. This 16th edition of the proceedings reports advances generated by renowned international researchers and will include as well results obtained by younger scientists.

Product Details

ISBN-13:	9783031901348
Publisher:	Springer Nature Switzerland
Publication date:	10/28/2025
Series:	CRM Series in Mathematical Physics
Pages:	220
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Luc Vinet is Aisenstadt Professor of Physics at the Université de Montréal and was appointed as Chief Executive Officer of IVADO in August 2021. Born in Montréal, he holds a doctorate from the Université Pierre et Marie Curie (Paris) and a Ph.D. from the Université de Montréal, both in theoretical physics. After two years as a Research Associate at MIT, he was appointed Assistant Professor in the Physics Department at the Université de Montréal in the early 1980s and promoted to full professorship in 1992. His research interests in theoretical and mathematical physics include: exactly solvable problems, symmetries, algebraic structures, special functions, and quantum information.

Howard Cohl is a Mathematician at the National Institute of Standards and Technology (NIST) in Gaithersburg, Maryland, USA. There he serves as Technical Editor for the NIST Digital Library of Mathematical Functions Project. Cohl has a B.S. in Astronomy and Astrophyics (1990) from Indiana University, Bloomington, Indiana, USA; M.S. (1994) and Ph.D. (1999) in Physics from Louisiana State University, Baton Rouge, Louisiana, USA, and a Ph.D. in Mathematics (2010) from The University of Auckland, Auckland, New Zealand. Cohl's research interests lie primarily in the area of special functions which provide solutions to linear ordinary and partial differential and difference equations. These include generalized, basic and bilateral hypergeometric series, orthogonal polynomials in the Askey and q-Askey schemes and as well their linear and bilinear generating functions.

Sarah Post is an Associate Professor in Mathematics at the University of Hawai'i at Mānoa. She has a B.S. in Physics and Mathematics (2004) from St. Lawrence University in Canton, NY and a Master's and Ph.D. (2009) from the University of Minnesota, Twin Cities. After her Ph.D. she spent three years as a postdoctoral researcher at the Centre de Recherches Mathématiques in Montréal, Canada. Her research interests lie in the intersection between mathematical physics, representation theory, orthogonal polynomials and special functions.

Josée Savard is an IVADO's Research Coordinator at Université de Montréal since 2021. She holds a Master's degree in Earth Sciences from Université du Québec à Montréal (2001), specializing in geochemistry. Passionate about research, she has since held several positions in research administration, assisting university researchers with various research-related mandates.

Table of Contents

A new approach to evaluating Malmsten’s integral and related integrals.- Special values for the continuous 𝒒 Jacobi polynomials with application to its Poisson kernel.- Orthogonal Polynomials for the Gaussian Weight with a Jump and Discrete Painlevé Equations.- Markov Chains and Multiple Orthogonality.- Special functions in quantum phase estimation.- Duality and Macdonald difference operators.- Krein Sobolev Orthogonal Polynomials.-
A method for summing q Bessel series.- Extended Coherent States.- The Mittag Leffler type Confluent Hypergeometric Matrix Function and their Fractional Calculus.- Sharp estimates for the Opdam Cherednik 𝑾 invariant heat kernel for the root system 𝑨1.- On Airy Solutions of PII and Complex Cubic Ensemble of Random Matrices, I.