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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Bibliographic Details
Published in:The ANZIAM journal Vol. 48; no. 1; pp. 143 - 150
Main Authors: Qureshi, M. I., Sadiq Khan, M., Pathan, M. A., Khan, N. U.
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.07.2006
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography: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