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An integral representation of the Appell series F2(σ,α1,α2;β1,β2;x,y) is used here to obtain several finite-sum expansions in terms of the less cumbersome hypergeometric functions 2 F 1 and 3 F 2 . In the case when the parameters σ, α1, α2, β1, and β2 are all positive integers, some of our results may be seen as a generalization of the finite-sum expansions of the Appell...
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