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Aug 21, 2013 at 19:10 comment added Ira Gessel Yes, I mean integrating $x^{\alpha -1}(1-x)^{-A}$ times each term of the hypergeometric series.
Aug 21, 2013 at 17:34 comment added Igor Rivin @IraGessel By termwise, I assume you mean "integrating the hypergeometric series termwise"?!
Aug 21, 2013 at 12:44 comment added Ira Gessel This is what you get by integrating termwise, using the beta integral.
Aug 21, 2013 at 11:52 history answered Carlo Beenakker CC BY-SA 3.0