Summable Sums of Hypergeometric Series
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New expansions for certain 2Fl's as a sum of r higher order hypergeometric series are given. When specialized to the binomial theorem, these r hypergeometric series sum. The results represent cubic and higher order transformations, and only Vandermonde's theorem is necessary for the elementary proof. Some q-analogues are also given.
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- Gasper, G. and Rahman, M. (1990a). Basic Hypergeometric Series. Cambridge University Press, Cambridge.Google Scholar