A Kummer-type transformation for a 2F2 hypergeometric function

Authors:
R. B. Paris
Affiliations:
Division of Mathematical Sciences, University of Abertay Dundee, Dundee DD1 1HG, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 2
Cited 2

On the reducibility of the Kampé deFériet function

Journal of Computational and Applied Mathematics
Letter to the editor: on a Kummer-type transformation for the generalized hypergeometric function 2F2

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Transformations of Kummer-type for 2F2-series and their q-analogues

Journal of Computational and Applied Mathematics
Certain summation and transformation formulas for generalized hypergeometric series

Journal of Computational and Applied Mathematics

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Abstract

We obtain a Kummer-type transformation for the 2F2(x) hypergeometric function with general parameters in the form of a sum of 2F2(-x) functions. This result is specialised to the case where one pair of parameters differs by unity to generalize a recent result of Miller (J. Comput. Appl. Math. 157 (2003) 507).