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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/07.24.17.0095.01









  


  










Input Form





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





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