Original scientific paper
On two Thomae-type transformations for hypergeometric series with integral parameter differences
Yong Sup Kim
; Department of Mathematics Education, Wonkwang University, Iksan, Korea
Arjun K. Rathie
; Department of Mathematics, Central University of Kerala, Kerala, India
Richard Bruce Paris
; School of Computing, Engineering and Applied Mathematics, University of Abertay Dundee, Dundee, UK
Abstract
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers.
This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.
Keywords
generalized hypergeometric series; Thomae transformations; generalized Euler-type transformations
Hrčak ID:
121829
URI
Publication date:
26.5.2014.
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