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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/07.24.17.0099.01









  


  










Input Form





Hypergeometric2F1Regularized[a, b, 2 b, z] == (((2^(1 - 2 b + a) Sqrt[Pi])/Gamma[b]) Hypergeometric2F1Regularized[a/2, (a + 1)/2, b + 1/2, z^2/(2 - z)^2])/(2 - z)^a /; !IntervalMemberQ[Interval[{2, Infinity}], z]










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