On certain hypergeometric identities deducible by using beta integral method

Autor:	Ibrahim, Adel K., Rakha, Medhat A., Rathie, Arjun K.
Rok vydání:	2013
Předmět:	Mathematics - Complex Variables Mathematics - Classical Analysis and ODEs 33C05 33C20 33C70
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.3083 Zobrazit plný text záznamu View this record from Arxiv