Some families of hypergeometric transformations and generating relations

Some families of hypergeometric transformations and generating relations

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Article ID: iaor2004720
Country: Netherlands
Volume: 34
Issue: 5/6
Start Page Number: 445
End Page Number: 459
Publication Date: Sep 2001
Journal: Mathematical and Computer Modelling
Authors: , ,
Keywords: statistics: distributions
Abstract:

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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