A multi-index Borel-Dzrbashjan transform

DOI10.1216/rmjm/1030539678zbMath1035.44002OpenAlexW1980891775MaRDI QIDQ1415027

Virginia S. Kiryakova, Fadhel A. Al-Musallam, Tuan, V. K.

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

Mittag-Leffler functioninversion formulasconvolution theoremFox's \(H\)-functionmulti-index Borel-Dzrbashjan transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

The convergence of series in multi-index Mittag-Leffler functions, The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus, The special functions of fractional calculus as generalized fractional calculus operators of some basic functions, From the hyper-Bessel operators of Dimovski to the generalized fractional calculus, Multi-parametric Mittag-Leffler functions and their extension, The Mellin integral transform in fractional calculus

Cites Work

• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• The obrechkoff integral transform: properties and relation to a generalized fractional calculus
• Inversion theorems for poterntial-type integral transforms in a and ons^n-1
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