On structure formulas for Wilson polynomials

DOI10.1080/10652469.2015.1076408zbMath1331.33011OpenAlexW2133624981MaRDI QIDQ3448975

Wolfram Koepf, P. Njionou Sadjang, Mama Foupouagnigni

Publication date: 3 November 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1076408

zbMATH Keywords

inversion formuladifference equationsconnection coefficientshypergeometric representationWilson polynomialsstructure relationquadratic lattices

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items

Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ On non-linear characterizations of classical orthogonal polynomials ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices ⋮ Orthogonal Polynomials and Computer Algebra ⋮ Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice

Uses Software

• SumTools

Cites Work

• Representations of orthogonal polynomials
• On classical orthogonal polynomials
• Connection and linearization coefficients of the Askey-Wilson polynomials
• Hypergeometric summation. An algorithmic approach to summation and special function identities
• Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• A Note on Wilson Polynomials
• The theory of difference analogues of special functions of hypergeometric type
• On difference equations for orthogonal polynomials on nonuniform lattices¹
• Some connection and linearization problems for polynomials in and beyond the Askey scheme