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





http://functions.wolfram.com/07.23.03.4929.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, 1/2, -z] == ((1 + 61 z + 620 z^2 + 2352 z^3 + 4096 z^4 + 3328 z^5 + 1024 z^6) Cosh[ArcSinh[Sqrt[z]]/3])/Sqrt[1 + z] + Sqrt[z] (11 + 220 z + 1232 z^2 + 2816 z^3 + 2816 z^4 + 1024 z^5) Sinh[ArcSinh[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