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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Cubic transformations





http://functions.wolfram.com/07.23.17.0120.01









  


  








Input Form





Hypergeometric2F1[a, a + 1/2, (4 a + 5)/6, z] == Hypergeometric2F1[a/3, a/3 + 1/2, (4 a + 5)/6, -((27 z (1 - z)^2)/(1 - 9 z)^2)]/(1 - 9 z)^(2 (a/3)) /; Abs[z] < 1/9








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