• GENERALIZED M-SERIES AND MULTIVARIABLE H-FUNCTION ASSOCIATED WITH PATHWAY TRANSFORM

NEETI GHIYA*, VIDYA PATIL, N. SHIVAKUMAR

Abstract


The aim of this paper is to obtain a pathway transform or - transform of the product of generalized M-series and multivariable H-function with general arguments. As this transform is generalization of many integral transforms and Generalized M-series and multivariable H-function are general in nature. These results provide a number of new results on specializing of the parameters. In the later text we have also given some interesting special cases related to the main results.


Keywords


Pathway transform, Generalized M-series, Multivariable H-function, Mittag Leffler function, Wright function, Hyper geometric function, H-function, Lauricella function.

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