Abstract: This paper explores the properties of the Y-function using various important integral transforms. We evaluate and derive clear expressions for the Euler, Hankel, Whittaker, K-, and P_δ-transforms applied to the Y-function kernel. Using the Mellin-Barnes integral representation, we show that the resulting images can be clearly expressed in terms of the original Y-function and the generalized Fox-H function. These findings create new functional relations and broaden the existing techniques for hypergeometric-type functions.

Keywords: Y-function;Euler Transform;Mellin Transform;Laplace Transform;Whittaker transform; Hankel Transform

Download: | DOI: 10.17148/IMRJR.2026.030203