scispace - formally typeset
Open AccessPosted Content

Additions to the formula lists in \Hypergeometric orthogonal polynomials and their q-analogues" by Koekoek, Lesky and Swarttouw

Tom H. Koornwinder
- 01 Jan 2015 - 
Reads0
Chats0
TLDR
In this article, the authors give a rather arbitrary choice of formulas for (q-)hypergeometric orthogonal polynomials which the author missed while consulting Chapters 9 and 14 in the book "Hypergeometric OOOP and their q-analogues" by Koekoek, Lesky and Swarttouw.
Abstract: 
This report gives a rather arbitrary choice of formulas for (q-)hypergeometric orthogonal polynomials which the author missed while consulting Chapters 9 and 14 in the book \Hypergeometric orthogonal polynomials and their q-analogues" by Koekoek, Lesky and Swarttouw. The systematics of these chapters will be followed here, in particular for the numbering of subsections and of references.

read more

Citations
More filters

Meixner-Pollaczek polynomials and the Heisenberg algebra

Tom H. Koornwinder
TL;DR: In this paper, an alternative proof is given for the connection between a system of continuous Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was first observed by Bender, Mead, and Pinsky [Phys. Rev. Lett. 56, 2445 (1986); J. Math. 28, 509 (1987)].
Journal ArticleDOI

A quantization of the harmonic analysis on the infinite-dimensional unitary group

Vadim Gorin, +1 more
- 01 Jan 2016 - 
TL;DR: In this paper, a new family of determinantal point processes on the real line is introduced, which admit a closed expression in terms of the Gauss hypergeometric function F 1 2.
Book ChapterDOI

Digital Repository of Mathematical Formulae

Howard S. Cohl, +4 more
TL;DR: The purpose of the NIST Digital Repository of Mathematical Formulae (DRMF) is to create a digital compendium of mathematical formulae for orthogonal polynomials and special functions (OPSF) and of associated mathematical data.
Book ChapterDOI

Growing the Digital Repository of Mathematical Formulae with Generic LaTeXźSources

Howard S. Cohl, +6 more
TL;DR: A semantic enrichment process whose goal is to infer semantic information from generic LaTeX sources is developed and generated context-free semantic information is used to build DRMF formula home pages for each individual formula.
Posted Content

Growing the Digital Repository of Mathematical Formulae with Generic LaTeX Sources

Howard S. Cohl, +6 more
- 06 May 2015 - 
TL;DR: A semantic enrichment process whose goal is to infer semantic information from generic LaTeX sources is developed and generated context-free semantic information is used to build DRMF formula home pages for each individual formula.
References
More filters
Book

Orthogonal polynomials

Gábor Szegő
Book

Higher Transcendental Functions

Bateman Manuscript, +2 more
Posted Content

Orthogonal Polynomials

Vilmos Totik
TL;DR: In this paper, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed and orthogonality on the unit circle is not discussed.
Journal ArticleDOI

Higher Transcendental Functions

Thomas M. Macrobert
- 01 Feb 1955 - 
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.
Book

Basic Hypergeometric Series

George Gasper, +1 more
TL;DR: In this article, the Askey-Wilson q-beta integral and some associated formulas were used to generate bilinear generating functions for basic orthogonal polynomials.