Frontiers in orthogonal polynomials and q-series
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Bibliographic Information
Frontiers in orthogonal polynomials and q-series
（Contemporary mathematics and its applications : monographs, expositions, and lecture notes, v. 1）
World Scientific, c2018
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
- Preface
- My Thanks to Mourad Ismail for His Work (Richard Askey)
- Binomial Andrews-Gordon-Bressoud Identities (Dennis Stanton)
- Symmetric Expansions of Very Well Poised Basic Hypergeometric Series (George E Andrews)
- A Sturm-Liouville Theory for Hahn Difference Operator (A H Annaby, A E Hamza and S D Makharesh)
- Solvability of the Hankel Determinant Problem for Real Sequences (Andrew Bakan and Christian Berg)
- Convolution and Product Theorems for the Special Affine Fourier Transform (Ayush Bhandari and Ahmed I Zayed)
- A Further Look at Time-and-Band Limiting for Matrix Orthogonal Polynomials (M Castro, F A Grunbaum, I Pacharoni and I Zurrian)
- The Orthogonality of Al-Salam-Carlitz Polynomials for Complex Parameters (Howard S Cohl, Roberto S Costas-Santos and Wenqing Xu)
- Crouching AGM, Hidden Modularity (Shaun Cooper, Jesus Guillera, Armin Straub and Wadim Zudilin)
- Asymptotics of Orthogonal Polynomials and the Painleve Transcendents (Dan Dai)
- From Gaussian Circle Problem to Multivariate Shannon Sampling (W Freeden, M Z Nashed)
- Weighted Partition Identities and Divisor Sums (F G Garvan)
- On the Ismail-Letessier-Askey Monotonicity Conjecture for Zeros of Ultraspherical Polynomials (Walter Gautschi)
- A Discrete Top-Down Markov Problem in Approximation Theory (Walter Gautschi)
- Supersymmetry of the Quantum Rotor (Vincent X Genest, Luc Vinet, Guo-Fu Yu and Alexei Zhedanov)
- The Method of Brackets in Experimental Mathematics (Ivan Gonzalez, Karen Kohl, Lin Jiu and Victor H Moll)
- Balanced Modular Parameterizations (Tim Huber, Danny Lara and Esteban Melendez)
- Some Smallest Parts Functions from Variations of Bailey's Lemma (Chris Jennings-Shaffer)
- Dual Addition Formulas Associated with Dual Product Formulas (Tom H Koornwinder)
- Holonomic Tools for Basic Hypergeometric Functions (Christoph Koutschan and Peter Paule)
- A Direct Evaluation of an Integral of Ismail and Valent (Alexey Kuznetsov)
- Algebraic Generating Functions for Gegenbauer Polynomials (Robert S Maier)
- q-Analogues of Two Product Formulas of Hypergeometric Functions by Bailey (Michael J Schlosser)
- Asymptotics of Generalized Hypergeometric Functions (Y Lin and R Wong)
- Mock Theta-Functions of the Third Order of Ramanujan in Terms of Appell-Lerch Series (Changgui Zhang)
- On Certain Positive Semidefinite Matrices of Special Functions (Ruiming Zhang)
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