Extensions of the Mehler-Weisner and Other Results for the Hermite Function

DOI10.2307/2005326zbMath0341.42013OpenAlexW4253695081MaRDI QIDQ4108753

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Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005326

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Cites Work

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• Operational formulas connected with two generalizations of Hermite polynomials
• On Jacobi functions and multiplication theorems for integrals of Bessel functions
• The special functions and their approximations. Vol. I, II
• Some extensions of the Mehler formula
• Some Generating Functions for Laguerre and Hermite Polynomials
• Generating Functions for Hermite Functions
• A Generalized Hermite Distribution and Its Properties
• On Expansion Problems: New Classes of Formulas for the Classical Functions
• Summation of a Series of Polynomials of Laguerre
• Notes on Generating Functions of Polynomials: (2) Hermite Polynomials
• Probabilistic Properties of Bilinear Expansions of Hermite Polynomials
• A partial differential equation connected with the functions of the parabolic cylinder

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