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research
Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x)
Authors
A. R. Miller
Richard B. Paris
Publication date
1 January 2012
Publisher
Doi
Cite
Abstract
We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer. The results derived for the latter are used to obtain Kummer-type transformations for the generalized hypergeometric function 2 F 2(x) and reduction formulas for certain Kampé de Fériet functions. Certain summations for the partial sums of the Gauss hypergeometric series 2 F 1(1) are also obtained
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Abertay Research Portal
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Last time updated on 16/10/2019
Abertay Research Portal
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:rke.abertay.ac.uk:publicat...
Last time updated on 16/12/2017