Title of article
Some multiple hypergeometric transformations and associated reduction formulas
Author/Authors
Whei-Ching C. Chan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2004
Pages
20
From page
418
To page
437
Abstract
The main object of the present paper is to derive various classes of double-series identities and to
show how these general results would apply to yield some (known or new) reduction formulas for the
Appell, Kampé de Fériet, and Lauricella hypergeometric functions of several variables. A number of
closely-related linear generating functions for the classical Jacobi polynomials are also investigated.
2004 Elsevier Inc. All rights reserved
Keywords
Hypergeometric Transformations , Appell functions , Series identities , Kampé deFériet function , Reduction formulas , Lauricella functions , Generating functions , Jacobi polynomials , Pfaff–Kummer transformation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2004
Journal title
Journal of Mathematical Analysis and Applications
Record number
931265
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