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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 with quadratic arguments





http://functions.wolfram.com/07.24.26.0031.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, 2 b, (4 Sqrt[z])/(1 + Sqrt[z])^2]/ (1 + Sqrt[z])^(2 a) == ((2^(1 - 2 b) Sqrt[Pi] Gamma[1/2 - a + b])/ (Gamma[a] Gamma[b])) MeijerG[{{1 - a}, {1/2 - a + b}}, {{0}, {1/2 - b}}, 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