Representation of Special Functions by Differintegral and Hyperdifferential Operators

DOI10.1137/0509085zbMath0451.33001OpenAlexW2078672392MaRDI QIDQ3897287

Do Tan Si

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509085

zbMATH Keywords

Lie algebraGegenbauer polynomialsHermite polynomialsLaguerre polynomialshypergeometric functionSheffer polynomialsfractional integralsconfluent hypergeometric functionsdifferential recurrence relationsdifferintegral and hyperdifferential operatorslinear and bilinear generating functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Other special functions (33E99) Classical operational calculus (44A45)

Related Items (2)

Evaluation of integrals and the Mellin transform ⋮ Resolution of Fredholm equations with kernels K (z−z) by operational calculus

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