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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/07.23.17.0132.01









  


  








Input Form





Hypergeometric2F1[a, 1 - a/3, 3/2, z] == (1 - (4 z)/3)^(-a - 1) (1 - (8 z)/9) Hypergeometric2F1[(1 + a)/3, (2 + a)/3, 3/2, (z (9 - 8 z)^2)/(4 z - 3)^3] /; Abs[z] < 3/4 || Re[z] < 5/8








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