The obrechkoff integral transform: properties and relation to a generalized fractional calculus

DOI10.1080/01630560008816944zbMath0956.44002OpenAlexW1485275799MaRDI QIDQ4484801

Ivan H. Dimovski, Virginia S. Kiryakova

Publication date: 28 August 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816944

zbMATH Keywords

Laplace transformhyper-Bessel differential operatoroperational calculusinversion formulaegeneralized fractional calculusMeijer's \(G\)-functionsDuhamel convolutionObrechkoff transformhyper-Bessel integral operatorLaplace-type integral transformsObrechkoff integral transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

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Cites Work

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