ANZIAM J.
48 (2006), 143150

Some multivariable Gaussian hypergeometric extensions of the Preece theorem

M. I. Qureshi
Department of Applied Sciences and Humanities
Faculty of Engineering and Technology
Jamia Millia Islamia
New Delhi110025
India



M. A. Pathan
Department of Mathematics
Aligarh Muslim University
Aligarh202002
India
mapathan@gmail.com




Abstract

Some generalisations of the Preece theorem
involving the product of two Kummer's functions
are obtained using Dixon's theorem and some
wellknown identities. Its special cases yield
various new transformations and reduction
formulae involving Pathan's quadruple
hypergeometric function and Srivastava's quadruple hypergeometric
function and triple hypergeometric function
. Some known results of Preece, Pathan and
Bailey are also obtained as special cases.

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