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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions and 2F1with algebraic arguments





http://functions.wolfram.com/07.24.26.0176.01









  


  








Input Form





(Hypergeometric2F1Regularized[a, 1/2 + a, c, 1/(1 + z)] Hypergeometric2F1[a, 1/2 + a, c, 1/(1 + z)])/(1 + z)^(2 a) == ((4^(-1 + c) Gamma[c])/(Sqrt[Pi] Gamma[2 a] Gamma[-1 - 2 a + 2 c])) MeijerG[{{1 - 2 a}, {c - 2 a, -1 + 2 c - 2 a}}, {{0, -1 - 4 a + 2 c, -(1/2) + c - 2 a}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 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