Frontiers in orthogonal polynomials and q-series

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Frontiers in orthogonal polynomials and q-series

edited by M Zuhair Nashed , Xin Li

(Contemporary mathematics and its applications : monographs, expositions, and lecture notes, v. 1)

World Scientific, c2018

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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)

by "Nielsen BookData"

Details
  • NCID
    BB25516081
  • ISBN
    • 9789813228870
  • LCCN
    2017029455
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Hackensack, N.J.
  • Pages/Volumes
    xiii, 562 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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