Analytic solutions of the heat equation and some formulas for laguerre and hermite polynomials

DOI10.1080/17476938408814079zbMath0585.35042OpenAlexW1975074263MaRDI QIDQ3710902

Jet Wimp, David Colton

Publication date: 1984

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938408814079

zbMATH Keywords

generating functionsheat equationproducts of Hermite polynomialsseries representation theorem

Mathematics Subject Classification ID

Heat equation (35K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Series solutions to PDEs (35C10)

Related Items (3)

On continuation via polynomials ⋮ Generating the Laguerre expansion coefficients by solving a one-dimensional transport equation ⋮ Remarks on polynomial expansions of solutions of the heat equation in two space variables

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