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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=10/3, b>=a > For fixed z and a=10/3, b=11/3





http://functions.wolfram.com/07.23.03.8562.01









  


  








Input Form





Hypergeometric2F1[10/3, 11/3, -(1/2), z] == (1/(12288 (-1 + z)^7)) ((3 (-4096 + 131072 z + 1276065 z^2 + 1256956 z^3 + 154672 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] - Sqrt[z] (4096 + 855465 z + 1628724 z^2 + 326384 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