Operational methods, special polynomial and functions and solution of partial differential equations

DOI10.1080/10652460410001673013zbMath1056.35036OpenAlexW2044817966MaRDI QIDQ4822873

Paolo Emilio Ricci, I. Khomasuridze, Giuseppe Dattoli

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/10652460410001673013

zbMATH Keywords

integral transformshypergeometric functionsBessel transformGauss transform

Mathematics Subject Classification ID

Heat equation (35K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Related Items (15)

Operational solution for some types of second order differential equations and for relevant physical problems ⋮ On fractional Mittag-Leffler operators ⋮ Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem ⋮ Dobiński relations and ordering of boson operators ⋮ Fractional exponential operators and time-fractional telegraph equation ⋮ The Ramanujan master theorem and its implications for special functions ⋮ Fractional exponential operators and nonlinear partial fractional differential equations in the Weyl fractional derivatives ⋮ On M-Wright transforms and time-fractional diffusion equations ⋮ Legendre polynomials: Lie methods and monomiality ⋮ Explicit solutions of families of generalized D’Alembert equations ⋮ Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering ⋮ Laguerre-type derivatives: Dobiński relations and combinatorial identities ⋮ On the Laguerre fractional integro-differentiation ⋮ Solution to system of partial fractional differential equations using the fractional exponential operators ⋮ Nonexponential evolution equations and operator ordering

Cites Work

• A Note on Legendre Polynomials

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