A study of $\tilde{Y}$-transform

Padama Kumawat 1 * and Yogesh Khandelwal2

doi:10.26637/MJM0703/0024

A study of $\tilde{Y}$-transform

Authors :

Padama Kumawat ^{1 *}and Yogesh Khandelwal²

Author Address :

^1,2Department of Mathematics, Maharshi Arvind University, Jaipur-302017, India.

*Corresponding author.

Abstract :

In this paper we introduce and study an integral transform ($\y$-transform) whose kernel is the $D^{\nu}_{\mu,\rho}(z)$ function which is generalized form of Kratzel function introduced by Kratzel \cite{10}. First, we obtain the basic properties of $\y$- transform. Further, we establish connection formulae of $\y$-transform with Mellin transform, Laplace transform and Saigo operators. Next, we find the images of the product of $H$-function and $S_V^U$ under this transform.

Keywords :

Mellin transform, Laplace transform, Saigo operators.

DOI :

10.26637/MJM0703/0024

Article Info :

Received : March 24, 2019; Accepted : June 19, 2019.