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Expansion formulae for general triple hypergeometric series

Published online by Cambridge University Press:  17 February 2009

Ch. Wali Mohd  and
M. I. Qureshi
M. I. Qureshi
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh-202001, India.
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Abstract

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The main object of present paper is to obtain a finite summation of Srivastava's general triple hypergeometric series in terms of Kampé de Fériet's double hypergeometric series. A number of finite sums of Kampé de Fériet's double hypergeometric polynomials in terms of different kinds of single hypergeometric polynomials of higher order, are obtained. Some known results of Manocha and Sharma [9], [10], Munot [11], Pathan [12], Qureshi [15], Qureshi and Pathan [16] and Srivastava [26] are deduced as special cases. A result of Pathan [13, page 316 (1.2)] is also corrected here.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 3 , January 1986 , pp. 376 - 385
Copyright
Copyright © Australian Mathematical Society 1986

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