Article overview
Abstract
In this paper we attempt to establish certain interesting transforma- tions involving theta hypergeometric functions. We make use of Bailey's lemma and summation of certain truncated theta hypergeometric functions to get our re- sults. These results are the most general ones, leading to a class of transformations of basic hypergeometric functions.
Keywords and Phrases
Elliptic hypergeometric seriestheta hypergeometric
functionstransformationsvery well-poised theta hypergeometric functions.
AMS Subject Classification
33D15, 33D90, 11A55, 11F20, 33E05
Reference information
How to Cite
S.N.Singh, Priyanka Singh, Mahendra Kumar Sharma*, (2013). On Certain Transformations Involving Theta Hypergeometric Functions. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 2(2), 29-38.