Expansions in terms of Laguerre heat polynomials and of their temperature transforms

DOI10.1007/BF02790378zbMath0244.42029OpenAlexW2007850945MaRDI QIDQ2554857

F. M. Cholewinski, Deborah Tepper Haimo

Publication date: 1971

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790378

Mathematics Subject Classification ID

Heat equation (35K05) 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) Series solutions to PDEs (35C10)

Related Items

Inversion of an integral transform related to a general form of heat equation ⋮ Remarks on analytic solutions of Leray-Volevich-coupled systems ⋮ On continuation via polynomials ⋮ Heat polynomial analogues for equations with higher order time derivatives ⋮ Expansions in terms of \(q\)-Laguerre heat polynomials ⋮ Inversion of integral transforms associated with a class of perturbed heat equations ⋮ The Dual Weierstrass-Laguerre Transform ⋮ A representation theory for solutions of a higher order heat equation. I ⋮ The reduced dual Poisson-Laguerre transform ⋮ Zur Verallgemeinerung von Wärmepolynomen

Cites Work

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• Series expansions of solutions of the heat equation in \(n\) dimensions
• \(L^ 2\) expansions in terms of generalized heat polynomials and of their Appell transforms
• Series expansions and integral representations of generalized temperatures
• Expansions in Terms of Heat Polynomials and Associated Functions
• Series Expansions of Generalized Temperature Functions in N Dimensions
• Functions with the Huygens property
• The Dual Poisson-Laguerre Transform
• The Inversion of a General Class of Convolution Transforms