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

TL;DR

This paper supplements the existing list of formulas for ($q$-)hypergeometric orthogonal polynomials from a key reference, filling in missed formulas and maintaining systematic consistency.

Contribution

It provides additional formulas for ($q$-)hypergeometric orthogonal polynomials that were previously overlooked in the standard reference, enhancing the completeness of the formula list.

Findings

Added formulas for ($q$-)hypergeometric orthogonal polynomials

Improved systematic organization of formulas

Fills gaps in the existing literature

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.