Duplication coefficients via generating functions

DOI10.1080/17476930701236967zbMath1120.33005OpenAlexW2030730426MaRDI QIDQ5297078

Hamza Chaggara, Wolfram Koepf

Publication date: 18 July 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701236967

zbMATH Keywords

generating functionsJacobi polynomialsMeixner polynomialsCharlier polynomialsduplication coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (7)

Coefficients of multiplication formulas for classical orthogonal polynomials ⋮ Linearization coefficients for Boas-Buck polynomial sets ⋮ Operational rules and a generalized Hermite polynomials ⋮ The power collection method for connection relations: Meixner polynomials ⋮ Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials ⋮ Connection and duplication formulas for the Boas-Buck-Appell polynomials ⋮ New product and linearization formulae of Jacobi polynomials of certain parameters

Cites Work

• Operational formulas connected with two generalizations of Hermite polynomials
• Power series in computer algebra
• Representations of orthogonal polynomials
• Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices
• Connection problems via lowering operators
• Connection coefficients between Boas--Buck polynomial sets
• AN EXTENSION OF HYPERGEOMETRIC FUNCTIONS (I)

This page was built for publication: Duplication coefficients via generating functions