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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/07.24.17.0096.01









  


  








Input Form





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