Some multivariable Gaussian hypergeometric extensions of the Preece theorem
ANZIAM JOURNAL(2006)
摘要
Some generalisations of the Preece theorem involving the product of two Kummer's functions F-1(1) are obtained using Dixon's theorem and some well-known identities. Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric function F-p((4)) and Srivastava's quadruple hypergeometric function F-(4) and triple hypergeometric function F-(3). Some known results of Preece, Pathan and Bailey are also obtained as special cases.
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关键词
Dixon's theorem,Preece's theorem,multiple Gaussian hypergeometric functions
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