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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/07.23.17.0131.01









  


  








Input Form





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








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