Some generating functions for the Laguerre and related polynomials

DOI10.1016/S0096-3003(99)00007-7zbMath1020.33003OpenAlexW1978265814MaRDI QIDQ1569154

Poh-Aun Lee, Hari M. Srivastava, Seng Huat Ong

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00007-7

zbMATH Keywords

hypergeometric functionsLaguerre polynomials\(q\)-hypergeometric functionsHeine's transformations\(q\)-series identities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

Certain classes of generating functions for the Jacobi and related hypergeometric polynomials.

Cites Work

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• Certain theorems on bilateral generating functions involving Hermite, Laguerre, and Gegenbauer polynomials
• Bessel polynomials
• Some families of multilinear \(q\)-generating functions and combinatorial \(q\)-series identities
• Some general families of generating functions for the Laguerre polynomials
• Lie theory and special functions
• Some Generating Functions for the Generalized Bessel Polynomials
• The Confluent Hypergeometric Function
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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