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Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem

Author

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  • M. I. Qureshi
  • M. Sadiq Khan
  • M. A. Pathan

Abstract

Some generalizations of Bailey's theorem involving the product of two Kummer functions 1 F 1 are obtained by using Watson's theorem and Srivastava's identities. Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric functions F p ( 4 ) , Srivastava's triple and quadruple hypergeometric functions F ( 3 ) , F ( 4 ) , Lauricella's quadruple hypergeometric function F A ( 4 ) , Exton's multiple hypergeometric functions X E : G ; H A : B ; D , K 10 , K 13 , X 8 , ( k ) H 2 ( n ) , ( k ) H 4 ( n ) , Erdélyi's multiple hypergeometric function H n , k , Khan and Pathan's triple hypergeometric function H 4 ( P ) , Kampé de Fériet's double hypergeometric function F E : G ; H A : B ; D , Appell's double hypergeometric function of the second kind F 2 , and the Srivastava-Daoust function F D : E ( 1 ) ; E ( 2 ) ; … ; E ( n ) A : B ( 1 ) ; B ( 2 ) ; … ; B ( n ) . Some known results of Buschman, Srivastava, and Bailey are obtained.

Suggested Citation

  • M. I. Qureshi & M. Sadiq Khan & M. A. Pathan, 2005. "Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:705242
    DOI: 10.1155/IJMMS.2005.143
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