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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=4/3, b>=a > For fixed z and a=4/3, b=17/3





http://functions.wolfram.com/07.23.03.8038.01









  


  








Input Form





Hypergeometric2F1[4/3, 17/3, -(3/2), z] == (1/(55296 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((55296 - 751616 z + 8503296 z^2 + 28095193 z^3 - 1781328 z^4 + 520200 z^5 - 108256 z^6 + 10880 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (18432 - 237568 z - 10115211 z^2 - 1558424 z^3 + 470152 z^4 - 102816 z^5 + 10880 z^6) 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