REDUCTION FORMULA ASSOCIATED WITH WHITTAKER FUNCTION

N.U. Khan; T. Kashmin

N.U. Khan Department of Applied Mathematics Faculty of Engineering and Technology Aligarh Muslim University, Aligarh-202002, India.

T. Kashmin Department of Applied Mathematics Faculty of Engineering and Technology Aligarh Muslim University, Aligarh-202002, India.

Volume 5, Issue 1 Pages 103-110 June 30, 2016 228 downloads

Article overview

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 X^A: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 functionPreece resultAppell’sExton and Srivastava’s triple hypergeometric series and Pochhammer symbol.

AMS Subject Classification

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

Reference information

How to Cite

N.U. Khan, T. Kashmin (2016). REDUCTION FORMULA ASSOCIATED WITH WHITTAKER FUNCTION. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 5(1), 103-110.

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