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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 8 and fixed z and a>0 > For fixed z and a=17/8, b>=a > For fixed z and a=17/8, b=47/8





http://functions.wolfram.com/07.23.03.c6t9.01









  


  








Input Form





Hypergeometric2F1[17/8, 47/8, 3/2, -z] == (1/27807) (4 (-((4 (-1542 + 1705 z + 570 z^2 + 161 z^3 + 22 z^4) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^6) + ((3135 - 36027 z + 7885 z^2 + 2591 z^3 + 688 z^4 + 88 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] (1 + z)^(13/2))))








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