REDUCTION FORMULA ASSOCIATED WITH WHITTAKER FUNCTION

Print ISSN: 2319-1023

Abstract

Significant result is obtained in the present study in terms of reduction formulas of Srivastava’s function F(3) into a combination of Exton’s double
hypergeometric function XA:B;D E:G;H. We then make use of our main result to derive a number of known and new transformation and reduction formulas for some Srivastava’s triple hypergeometric series, Exton double hypergeometric function, Appell function etcetera.

Keywords and Phrases

Whittaker function, Preece result, Appell’s, Exton and Srivastava’s triple hypergeometric series and Pochhammer symbol.

A.M.S. subject classification

33C20, 33C65, 33C70, 33C80, 33C90.

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