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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=1/3, b>=a > For fixed z and a=1/3, b=2/3





http://functions.wolfram.com/07.23.03.7382.01









  


  








Input Form





Hypergeometric2F1[1/3, 2/3, -(7/2), z] == (1/(1701 (-1 + z)^4)) (((1701 - 7857 z + 14330 z^2 - 12946 z^3 + 6473 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] - 3 Sqrt[z] (-189 + 740 z - 1086 z^2 + 724 z^3) Sin[ArcSin[Sqrt[z]]/3])








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)





2007-05-02