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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/07.23.17.0123.01









  


  








Input Form





Hypergeometric2F1[a, 3 a - 1/2, 4 a, z] == (1 - z/4)^(1/2 - 3 a) Hypergeometric2F1[a - 1/6, a + 1/6, 1/2 + 2 a, -((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