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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Quadratic transformations with fixed a,b,z





http://functions.wolfram.com/07.23.17.0088.01









  


  








Input Form





Hypergeometric2F1[a, b, a + b + 1/2, z] == Hypergeometric2F1[2 a, a + b, 2 a + 2 b, 2 Sqrt[z^2 - z] + 2 z]/ (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