Q Difference Operators Orthogonal Polynomials And Symmetric Expansions
Download Q Difference Operators Orthogonal Polynomials And Symmetric Expansions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Q Difference Operators Orthogonal Polynomials And Symmetric Expansions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions
Author: Douglas Bowman
language: en
Publisher: American Mathematical Soc.
Release Date: 2002
The author explores ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. In special cases these symmetric polynomials reduce to well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from this approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. Expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials are also found. This provides a quick route to understanding the group structure generated by iterating the two-term transformations of these functions. Some infrastructure is also laid for more general investigations in the future
Q-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions
Introduction and preliminaries New results and connections with current research Vector operator identities and simple applications Bibliography.
Frontiers In Orthogonal Polynomials And Q-series
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.