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http://dx.doi.org/10.4134/CKMS.c150242

SOME INTEGRAL TRANSFORMS INVOLVING EXTENDED GENERALIZED GAUSS HYPERGEOMETRIC FUNCTIONS  

Choi, Junesang (Department of Mathematics Dongguk University)
Kachhia, Krunal B. (Department of Mathematical Sciences Faculty of Applied Sciences Charotar University of Science and Technology (CHARUSAT))
Prajapati, Jyotindra C. (Department of Mathematics Faculty of Technology and Engineering Marwadi Education Foundation Group of Institutions (MEFGI))
Purohit, Sunil Dutt (Department of HEAS (Mathematics) Rajasthan Technical University)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.4, 2016 , pp. 779-790 More about this Journal
Abstract
Using the extended generalized integral transform given by Luo et al. [6], we introduce some new generalized integral transforms to investigate such their (potentially) useful properties as inversion formulas and Parseval-Goldstein type relations. Classical integral transforms including (for example) Laplace, Stieltjes, and Widder-Potential transforms are seen to follow as special cases of the newly-introduced integral transforms.
Keywords
integral transforms; Laplace transform; inversion Theorems; Parseval relations;
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