In this paper, using second order dierential equation and some con- tiguous relations of ordinary hypergeometric series we have established Kummer's transformations for con uent hypergeometric series.
Keywords and Phrases
Ordinary hypergeometric series, Identities and trans- formation formulae
A.M.S. subject classiﬁcation
Primary 33D15, 33D90, 11A55; Secondary 11F20.