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

Padama Kumawat, Yogesh Khandelwal · Malaya Journal of Matematik · 2019

In this paper we introduce and study an integral transform (Ĩ-transform) whose kernel is the $D_{\mu, \rho}^v(z)$ function which is generalized form of Kratzel function introduced by Kratzel [10]. First, we obtain the basic properties of $\tilde{Y}$ transform. Further, we establish connection formulae of $\tilde{Y}$-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.

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