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

Abstract

This paper 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.

46 pages; many additions

References in corpus (4)

• The structure relation for Askey-Wilson polynomials
• A "Continuous" Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials
• The indeterminate moment problem for the $q$-Meixner polynomials
• A simple approach to q-Chebyshev polynomials

Cited by in corpus (5)

• Orthogonal Polynomials in Mathematical Physics
• Growing the Digital Repository of Mathematical Formulae with Generic LaTeX Sources
• Macdonald-level extension of beta ensembles and large-N limit transition
• Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials
• Algebraic Generating Functions for Gegenbauer Polynomials