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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Quadratic transformations with fixed a,b,z





http://functions.wolfram.com/07.24.17.0079.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, a + b - 1/2, z] == ((2^(2 a + 2 b - 3) Gamma[a + b - 1])/Sqrt[Pi]) (1/Sqrt[1 - z]) (Sqrt[1 - z] + Sqrt[-z])^(1 - 2 a) Hypergeometric2F1Regularized[2 a - 1, a + b - 1, 2 a + 2 b - 2, 2 Sqrt[z^2 - z] + 2 z] /; Re[z] < 1/2








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