Lectures on orthogonal polynomials and special functions : Sixth Summer School, Maryland, 2016 / edited by Howard S. Cohl, Mourad E.H. Ismail.

Format:

Book

Conference/Event

Contributor:

Cohl, Howard S., 1968- editor.

Ismail, Mourad, 1944- editor.

Conference Name:

Orthogonal Polynomials and Special Functions Summer School (6th : 2016 : University of Maryland; College Park, Md.), author.

Series:

London Mathematical Society lecture note series ; 464.

London Mathematical Society lecture note series ; 464

Language:

English

Subjects (All):

Orthogonal polynomials--Congresses.

Orthogonal polynomials.

Functions, Special--Congresses.

Functions, Special.

Genre:

Conference papers and proceedings.

Physical Description:

xv, 334 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021.

Summary:

"On July 11-15, 2016, we organized a summer school, Orthogonal Polynomials and Special Functions, Summer School 6 (OPSF-S6) which was hosted at the University of Maryland, College Park, Maryland. This summer school was co-organized with Kasso Okoudjou, Professor and Associate Chair, Department of Mathematics, and Norbert Wiener Center for Harmonic Analysis and Applications. OPSF-S6 was a National Science Foundation (NSF) supported summer school on orthogonal polynomials and special functions which received partial support from the Institute forMathematics and its Applications (IMA),Minneapolis, Minnesota. Twenty-two, undergraduates, graduate students, and young researchers attended the summer school from the USA, China, Europe, Morocco and Tunisia, hoping to learn a new state of the art in these subject areas. Since 1970, the subjects of special functions and special families of orthogonal polynomials, have gone through major developments. The Wilson and Askey-Wilson polynomials paved the way for a better understanding of the theory of hypergeometric and basic hypergeometric series and shed new light on the pioneering work of Rogers and Ramanujan. This was combined with advances in the applications of q-series in number theory through the theory of partitions and allied subjects. When quantum groups arrived, the functions which appeared in their representation theory turned out to be the same q-functions which were recently developed at that time. This motivated researchers to revisit the old Bochner problem of studying polynomial solutions to second order differential, difference, or q-difference equations, which are of Sturm-Liouville type and have polynomial coefficients"-- Provided by publisher.

Contents:

Exceptional orthogonal polynomials via Krall discrete polynomials / Antonio J. Duran

A brief review of q-series / Mourad E.H. Ismail

Applications of spectral theory to special functions / Erik Koelink

Elliptic hypergeometric functions / Hjalmar Rosengren

Combinatorics of orthogonal polynomials and their moments / Jiang Zeng.

Notes:

Includes bibliographical references.

ISBN:

9781108821599

1108821596

OCLC:

1200834081