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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/07.23.17.0122.01









  


  










Input Form





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