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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Major general cases





http://functions.wolfram.com/07.24.17.0059.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, c, z] == (Pi/Sin[Pi (c - a - b)]) (((1/(Gamma[c - a] Gamma[c - b])) Hypergeometric2F1Regularized[a, 1 + a - c, a + b - c + 1, 1 - 1/z])/z^a - (1/(Gamma[a] Gamma[b])) z^(a - c) (1 - z)^(c - a - b) Hypergeometric2F1Regularized[c - a, 1 - a, 1 + c - a - b, 1 - 1/z]) /; !Element[c - a - b, Integers] && !IntervalMemberQ[Interval[{-Infinity, 0}], z]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29