Original scientific paper

On a result related to transformations and summations of generalized hypergeometric series

Allen Richard Miller ; George Washington University, Washington, USA
Richard Bruce Paris ; University of Abertay Dundee, Dundee, UK

Abstract

We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion
alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided.

Keywords

generalized hypergeometric functions and series; transformation and summation formulas

Hrčak ID:

83001

URI

https://hrcak.srce.hr/83001

Publication date:

12.6.2012.

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