Chapter 18 Orthogonal Polynomials

T. H. Koornwinder University of Amsterdam, Korteweg–de Vries Institute, Amsterdam, The Netherlands. R. Wong City University of Hong Kong, Liu Bie Ju Centre for Mathematical Sciences, Kowloon, Hong Kong. R. Koekoek Delft University of Technology, Delft Institute of Applied Mathematics, Delft, The Netherlands. R. F. Swarttouw Delft University of Technology, Delft Institute of Applied Mathematics, Delft, The Netherlands. W. P. Reinhardt University of Washington, Department of Chemistry, Seattle, Washington, USA.

ⓘ

Notes:: The main references for writing this chapter are Andrews et al. (1999), Askey and Wilson (1985), Chihara (1978), Koekoek et al. (2010), and Szegő (1975).
Referenced by:: §14.7(i), §16.7, §3.11(ii), DLMF Update; Version 1.2.0, Profile René F. Swarttouw, Profile Roelof Koekoek, Profile Roderick S. C. Wong, Profile Roderick S. C. Wong, Profile Tom H. Koornwinder, Profile Wolter Groenevelt, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Associate Editors, § ‣ Associate Editors, § ‣ Contributing Developers, Erratum (V1.0.20) for Chapter 18 Orthogonal Polynomials, Erratum (V1.1.6) for Chapters 10 Bessel Functions, 18 Orthogonal Polynomials, 34 3j, 6j, 9j Symbols, Erratum (V1.1.6) for Chapters 1 Algebraic and Analytic Methods, 10 Bessel Functions, 14 Legendre and Related Functions, 18 Orthogonal Polynomials, 29 Lamé Functions, Erratum (V1.2.0) for Chapter 18 Additions, Version 1.2.0 (March 27, 2024), Version 1.2.0 (March 27, 2024), Organization and Objective, § ‣ Software Cross Index
Permalink:: http://dlmf.nist.gov/18

Notation
1. 18.1 Notation
General Orthogonal Polynomials
1. 18.2 General Orthogonal Polynomials
Classical Orthogonal Polynomials
Askey Scheme

17.19 Software 18.1 Notation

Site Privacy Accessibility Privacy Program Copyrights Vulnerability Disclosure No Fear Act Policy FOIA Environmental Policy Scientific Integrity Information Quality Standards Commerce.gov Science.gov USA.gov