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http://dx.doi.org/10.5831/HMJ.2021.43.2.167

ERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION  

Agarwal, P. (Department of Mathematics, Anand International College of Engineering, Nonlinear Dynamics Research Center (NDRC), Ajman University, International Center for Basic and Applied Sciences)
Suthar, D.L. (Department of Mathematics, Wollo University)
Tadesse, Hagos (Department of Mathematics, Wollo University)
Habenom, Haile (Department of Mathematics, Wollo University)
Publication Information
Honam Mathematical Journal / v.43, no.2, 2021 , pp. 167-181 More about this Journal
Abstract
In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.
Keywords
k-hypergeometric function; k-Wright function; k-Bessel function; k-fractional calculus operators;
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