@article{Miller2011EulertypeTF,
title={Euler-type transformations for the generalized hypergeometric function r+2Fr+1(x)},
author={Allen R. Miller and Richard B. Paris},
journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik},
year={2011},
volume={62},
pages={31-45},
url={https://api.semanticscholar.org/CorpusID:30484300}
}
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.
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