Series identities and associated families of generating functions

The authors investigate several families of double-series identities as well as their (known or new) consequences involving various hypergeometric functions in one and two variables. A number of associated generating-function relationships, involving certain classes of hypergeometric polynomials, ar...

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Vydáno v:	Journal of mathematical analysis and applications Ročník 311; číslo 2; s. 582 - 599
Hlavní autoři:	Chen, Kung-Yu, Srivastava, H.M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	San Diego, CA Elsevier Inc 15.11.2005 Elsevier
Témata:	Exact sciences and technology Generating functions Hypergeometric functions and polynomials Mathematical analysis Mathematics Pfaff–Saalschütz theorem Quadratic transformations Sciences and techniques of general use Series identities Special functions Whipple's transformation Quadratic transformations Pfaff–Saalschütz theorem Series identities Hypergeometric functions and polynomials Whipple's transformation Generating functions Whipple's transformation: Pfaff-Saalschütz theorem Generating function Whipple transformation Hypergeometric polynomial Series identity Double series Mathematical analysis Pfaff Saalschutz theorem Hypergeometric function
ISSN:	0022-247X, 1096-0813
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Shrnutí:	The authors investigate several families of double-series identities as well as their (known or new) consequences involving various hypergeometric functions in one and two variables. A number of associated generating-function relationships, involving certain classes of hypergeometric polynomials, are also considered.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2005.03.030