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Commun. Korean Math. Soc. 2016; 31(4): 779-790
Online first article August 25, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150242
Copyright © The Korean Mathematical Society.
Some integral transforms involving extended generalized Gauss hypergeometric functions
Junesang Choi, Krunal B. Kachhia, Jyotindra C. Prajapati, and Sunil Dutt Purohit
Dongguk University, Charotar University of Science and Technology (CHARUSAT), Marwadi Education Foundation Group of Institutions (MEFGI), Rajasthan Technical University
Using the extended generalized integral transform given by Luo \textit{et al.} \cite{Luo:2014}, 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
MSC numbers: Primary 44A10, 44A20; Secondary 33C15, 33C20
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