On certain hypergeometric identities deducible by using the beta integral method
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Open Access
- 25 November 2013
- journal article
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2013 (1) , 341
Abstract
The aim of this research paper is to demonstrate how one can obtain eleven new and interesting hypergeometric identities (in the form of a single result) from the old ones by mainly applying the well-known beta integral method which was used successfully and systematically by Krattenthaler and Rao in their well known, very interesting research papers. The results are derived with the help of generalization of a quadratic transformation formula due to Kummer very recently obtained by Kim et al. Several identities, including one obtained earlier by Krattenthaler and Rao, follow special cases of our main findings. The results established in this paper are simple, interesting, easily established and may be potentially useful. MSC: 33C05, 33C20, 33C70.Keywords
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