Fractional Bessel Integrals and Derivatives on Semi-axes

DOI10.1007/978-3-030-35914-0_28zbMath1451.44006OpenAlexW3016066614MaRDI QIDQ3296671

Sergeĭ Mikhaĭlovich Sitnik, Elina Leonidovna Shishkina

Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_28

zbMATH Keywords

Hankel transformhypergeometric functionfractional Bessel operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Classical operational calculus (44A45)

Related Items (1)

Transmutations for self-adjoint differential operators

Cites Work

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• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• A fractional integral operator corresponding to negative powers of a certain second-order differential operator
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• From Bessel to Multi-Index Mittag–Leffler Functions
• Applied Pseudoanalytic Function Theory
• Fractional Powers of a Class of Ordinary Differentilal Operators
• Operational Calculus and Related Topics
• Mittag-Leffler Functions, Related Topics and Applications
• TRANSFORMATION OF HYPERGEOMETRIC INTEGRALS BY MEANS OF FRACTIONAL INTEGRATION BY PARTS

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