Some generating functions and other properties associated with the generalized Hermite and related polynomials

DOI10.1080/10652469.2011.591207zbMath1234.33015OpenAlexW2064989863MaRDI QIDQ3107312

Hari M. Srivastava, Gospava B. Djordjević

Publication date: 23 December 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.591207

zbMATH Keywords

Gauss hypergeometric functiongeneralized Hermite polynomialsGould-Hopper polynomialsLauricella triple hypergeometric functionsSrivastava-Daoust multivariable hypergeometric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

Convolutions of the generalized Morgan-Voyce polynomials ⋮ Unnamed Item ⋮ Generalizations on Humbert polynomials and functions ⋮ Some Srivastava-Brafman type generating relations for a general class of multi-index and multi-variable Gould-Hopper and Dattoli type hypergeometric polynomials

Cites Work

• Unnamed Item
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• Operational formulas connected with two generalizations of Hermite polynomials
• On a new family of Hermite polynomials associated to parabolic cylinder functions
• Generalized Hermite polynomials associated with functions of parabolic cylinder
• On some generating functions for the extended generalized Hermite polynomials

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