In the present paper, using the bilateral Bailey transform due to Andrews and Warnaar and certain known summation formulae, we have established some transformation formulae of ordinary bilateral hypergeometric series which are believed to be new. We have also discussed few special cases.
Keywords and Phrases
Bailey transform, bilateral Bailey transform, summation formulae, transformation formulae, ordinary bilateral hypergeometric series.
A.M.S. subject classiﬁcation
Primary 33D15, 33D90, 11A55