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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/07.24.17.0101.01









  


  








Input Form





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