Some multivariable Gaussian hypergeometric extensions of the Preece theorem

Some generalisations of the Preece theorem involving the product of two Kummer's functions 1F1 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 func...

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Vydáno v:	The ANZIAM journal Ročník 48; číslo 1; s. 143 - 150
Hlavní autoři:	Qureshi, M. I., Sadiq Khan, M., Pathan, M. A., Khan, N. U.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cambridge, UK Cambridge University Press 01.07.2006
Témata:	Dixon's theorem Hypergeometric functions Identities multiple Gaussian hypergeometric functions Preece's theorem Theorems Preece's theorem multiple Gaussian hypergeometric functions Dixon's theorem
ISSN:	1446-1811, 1446-8735
On-line přístup:	Získat plný text
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Popis
Shrnutí:	Some generalisations of the Preece theorem involving the product of two Kummer's functions 1F1 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 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.
Bibliografie:	ark:/67375/6GQ-7KHMPCGM-9 istex:748DE90B2002427E1313C4CF1C07FB7926AFEB67 PII:S1446181100003473 ArticleID:00347 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1446-1811 1446-8735
DOI:	10.1017/S1446181100003473