Euler-type transformations for the generalized hypergeometric function
نویسنده
چکیده
Abstract We provide generalizations of two of Euler’s classical transformation formulas for the Gauss hypergeometric function extended to the case of the generalized hypergeometric function r+2Fr+1(x) when there are additional numeratorial and denominatorial parameters differing by unity. The method employed to deduce the latter is also implemented to obtain a Kummer-type transformation formula for r+1Fr+1(x) that was recently derived in a different way. Mathematics Subject Classification: 33C15, 33C20, 33C50
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