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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Identities > Functional identities > Cubic transformations





http://functions.wolfram.com/07.24.17.0118.01









  


  








Input Form





Hypergeometric2F1Regularized[a, (2 a + 1)/6, (4 a + 2)/3, z] == ((2^((2 a + 1)/3) Sqrt[Pi])/((4 - z)^a Gamma[(2 a + 1)/3])) Hypergeometric2F1Regularized[a/3, (a + 1)/3, (4 a + 5)/6, -((27 z^2)/(z - 4)^3)] /; !IntervalMemberQ[Interval[{4, 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