Certain theorems on bilateral generating functions involving Hermite, Laguerre, and Gegenbauer polynomials

DOI10.1016/0022-247X(90)90069-RzbMath0692.33007MaRDI QIDQ583439

John H. Hubbell, Hari M. Srivastava

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Bessel functionKonhauser biorthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other wave functions (33E15)

Related Items (3)

A certain class of generating functions involving bilateral series ⋮ Probabilistic derivation of some generating functions for the Laguerre polynomials ⋮ Some generating functions for the Laguerre and related polynomials

Cites Work

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• Operational formulas connected with two generalizations of Hermite polynomials
• An investigation of biorthogonal polynomials derivable from ordinary differential equations of the third order
• Some biorthogonal polynomials suggested by the Laguerre polynomials
• Biorthogonal polynomials suggested by the Laguerre polynomials
• A class of polynomials defined by generalized Rodrigues' formula
• The Confluent Hypergeometric Function
• Generating Functions for Bessel and Related Polynomials
• Some properties of biorthogonal polynomials
• A class of bilateral generating functions for certain classical polynomials

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