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Title: Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x)
Authors: Miller, A. R.
Paris, Richard B.
Affiliation: University of Abertay Dundee. School of Computing & Engineering Systems
Keywords: Generalized hypergeometric function
Summation and reduction formula
Kummer-type transformation
Partial sums of the Gauss function at unit argument
Issue Date: 2012
Publisher: Taylor & Francis
Type: Journal Article
Refereed: peer-reviewed
Rights: This is an author's accepted manuscript of an article published in Integral Transforms and Special Functions, 2012. Available online: http://dx.doi.org/10.1080/10652469.2011.552263. Published version © Taylor & Francis.
Citation: Miller, A.R. and Paris, R.B. 2012. Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x). Integral Transforms and Special Functions. 23(1): pp.21-33. Available from http://dx.doi.org/10.1080/10652469.2011.552263
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.
URI: http://hdl.handle.net/10373/1218
ISSN: 1065-2469
Appears in Collections:Computing & Engineering Systems Collection

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