A MULTI-INDEX BOREL-DZRBASHJAN TRANSFORM

An integral transform involving a Fox's H-function is introduced. This integral transform is closely related to a multi-index analogue of the classical Mittag-Leffler function. Along with the basic operational and mapping properties of this transform, the new results presented here include comp...

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2002-06, Vol.32 (2), p.409-428
Main Authors: AL-MUSALLAM, FADHEL, KIRYAKOVA, VIRGINIA, TUAN, VU KIM
Format: Article
Language:English
Subjects:
26A33
33C60
33E12
44A15
44A30
BorelDzrbashian transform
Differential operators
Exact sciences and technology
Fourier transformations
H-transform
Integers
Integral transforms, operational calculus
Laplace transformation
Laplace-type integral transform
Mathematical analysis
Mathematical functions
Mathematical integrals
Mathematical theorems
Mathematics
Mellin transforms
Mittag-Leffler function
Operational calculus
operators of fractional integration and differentiation
Real functions
Sciences and techniques of general use
Special functions
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Summary:An integral transform involving a Fox's H-function is introduced. This integral transform is closely related to a multi-index analogue of the classical Mittag-Leffler function. Along with the basic operational and mapping properties of this transform, the new results presented here include complex and real inversion formulas and a convolution theorem.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1030539678