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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/07.24.17.0113.01









  


  








Input Form





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