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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,c,z





http://functions.wolfram.com/07.24.17.0111.01









  


  








Input Form





Hypergeometric2F1Regularized[a, a + 1/2, c, z] == Hypergeometric2F1Regularized[2 a, 2 a - c + 1, c, (1 - Sqrt[1 - z])/(1 + Sqrt[1 - z])]/((1 + Sqrt[1 - z])/2)^(2 a)








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