Some multiple Gaussian hypergeometric generalizations ofBuschman‐Srivastava theorem
Copyright policy )Some multiple Gaussian hypergeometric generalizations ofBuschman‐Srivastava theorem
Some generalizations of Bailey′s theorem involving the product of two Kummer functions 1F1 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 , Srivastava′s triple and quadruple hypergeometric functions F(3), F(4), Lauricella′s quadruple hypergeometric function , Exton′s multiple hypergeometric functions , K10, K13, X8, , , Erdélyi′s multiple hypergeometric function Hn,k, Khan and Pathan′s triple hypergeometric function , Kampé de Fériet′s double hypergeometric function , Appell′s double hypergeometric function of the second kind F2, and the Srivastava‐Daoust function . Some known results of Buschman, Srivastava, and Bailey are obtained.
Artificial intelligence, Polymers and Plastics, hypergeometric functions of several variables, Arithmetic of Multiple Zeta Values and Related Functions, Materials Science, Orthogonal Polynomials, Lauricella functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Synthesis and Characterization of Polymer Resins, multiple Gaussian hypergeometric functions, QA1-939, FOS: Mathematics, Polylogarithms, Approximation, Algebra and Number Theory, Generalized hypergeometric series, \({}_pF_q\), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Applied Mathematics, reduction formulas, Computer science, Algorithm, Appell, Horn and Lauricella functions, multiple series identities, generalized hypergeometric functions, Physical Sciences, Mathematics, Hypergeometric Functions
Artificial intelligence, Polymers and Plastics, hypergeometric functions of several variables, Arithmetic of Multiple Zeta Values and Related Functions, Materials Science, Orthogonal Polynomials, Lauricella functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Synthesis and Characterization of Polymer Resins, multiple Gaussian hypergeometric functions, QA1-939, FOS: Mathematics, Polylogarithms, Approximation, Algebra and Number Theory, Generalized hypergeometric series, \({}_pF_q\), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Applied Mathematics, reduction formulas, Computer science, Algorithm, Appell, Horn and Lauricella functions, multiple series identities, generalized hypergeometric functions, Physical Sciences, Mathematics, Hypergeometric Functions
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