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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/07.24.17.0115.01









  


  








Input Form





Hypergeometric2F1Regularized[a, a - 1/2, (4 a)/3, z] == ((2^((2 a)/3) Sqrt[Pi])/Gamma[(2 a)/3]) (8 - 9 z)^((1 - 2 a)/3) Hypergeometric2F1Regularized[(2 a - 1)/6, (1 + a)/3, (4 a + 3)/6, (27 (z - 1) z^2)/(8 - 9 z)^2] /; Abs[z - 1] > 1/3








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