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Some families of hypergeometric transformations and generating relations

✍ Scribed by Lin Shy-Der; H.M. Srivastava; Wang Pin-Yu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
968 KB
Volume
36
Category
Article
ISSN
0895-7177

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✦ Synopsis

By

applying a quadratic transformation for the Gauss hypergeometric function, the authors derive a family of generating relations for a general polynomial system. Several interesting consequences of the main result, involving various classes of hypergeometric polynomials, are considered. Further generating relations associated with the Laguerre functions and polynomials are also investigated.

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