Polynomial expansions for solutions of higher-order Bessel heat equations

DOI10.1006/jmaa.1997.5203zbMath0886.35073OpenAlexW2083079634MaRDI QIDQ1353555

N. H. Mahmoud, Ould Ahmed Mahmoud Sid Ahmed, Ahmed Fitouhi

Publication date: 27 April 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5203

zbMATH Keywords

analytic solutionshigher-order Bessel heat polynomials

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Initial value problems for higher-order parabolic equations (35K30)

Related Items (4)

Fock-type spaces associated to higher-order Bessel operator ⋮ Reproducing kernel Hilbert spaces (RKHS) for the higher order Bessel operator ⋮ Expansions in terms of \(q\)-Laguerre heat polynomials ⋮ Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane

Cites Work

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• Singular differential operators with r-1 parameters and Bessel functions of vector index
• Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
• A representation theory for solutions of a higher order heat equation. I
• A representation theory for solutions of a higher order heat equation. II
• An initial value problem for a class of higher order partial differential equations related to the heat equation
• Expansions in Terms of Heat Polynomials and Associated Functions
• Polynomial Expansions for Solutions of $D_x^r u(x,t) = D_t u(x,t),r = 2,3,4, \cdots $
• The Radial Heat Polynomials and Related Functions

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