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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2v8.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, 3/2, -z] == (1/9269) (4 (((1847 + 2330 z + 1999 z^2 + 924 z^3 + 176 z^4) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^5 - ((-1881 + 2813 z + 3225 z^2 + 2439 z^3 + 1012 z^4 + 176 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] (1 + z)^(11/2))))








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