A new family of integral transforms and their applications

DOI10.1080/10652460500389081zbMath1086.33009OpenAlexW2116403755MaRDI QIDQ3377942

K. V. Zhukovskiĭ, Hari M. Srivastava, Giuseppe Dattoli

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1080/10652460500389081

zbMATH Keywords

integral transformsLaguerre polynomialsinitial-value problemsspecial functionspartial differential equationsoperational methodsmonomiality principleGauss-Weierstrass transformLaguerre derivativesHermite-Kampé de Fériet (HKdF) polynomialsderivative and multiplicative operatorsGlaisher's operational rule

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (14)

Properties of certain new special polynomials associated with Sheffer sequences ⋮ Operational solution for some types of second order differential equations and for relevant physical problems ⋮ Mittag-Leffler function and fractional differential equations ⋮ Finding mixed families of special polynomials associated with Appell sequences ⋮ On fractional order Mellin transform and some of its properties ⋮ Operational methods and differential equations with applications to initial-value problems ⋮ Families of Legendre-Sheffer polynomials ⋮ Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators ⋮ Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials ⋮ Analytical solutions for heat diffusion beyond Fourier law ⋮ Solving evolutionary-type differential equations and physical problems using the operator method ⋮ Hermite-Laguerre matrix polynomials and generating relations ⋮ Some exact solutions to non-Fourier heat equations with substantial derivative ⋮ Operator ordering and solution of pseudo-evolutionary equations

Cites Work

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