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http://dx.doi.org/10.4134/CKMS.c170056

CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION  

Agarwal, Praveen (Department of Mathematics Anand International College of Engineering)
Chand, Mehar (Department of Applied Sciences Guru Kashi University)
Choi, Junesang (Department of Mathematics Dongguk University)
Singh, Gurmej (Department of Mathematics Mata Sahib Kaur Girls College)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.2, 2018 , pp. 423-436 More about this Journal
Abstract
We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.
Keywords
k-Pochhammer symbol; k-gamma function; Fox-Wright function; generalized k-Bessel function; Laplace transform; beta transform; Whittaker transform; Saigo hypergeometric fractional integral operators;
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