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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/07.24.17.0098.01









  


  








Input Form





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