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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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 311; no. 2; pp. 582 - 599
Main Authors: Chen, Kung-Yu, Srivastava, H.M.
Format: Journal Article
Language:English
Published: San Diego, CA Elsevier Inc 15.11.2005
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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