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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=35/8, b>=a > For fixed z and a=35/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[35/8, 37/8, 3/2, -z] == (1/709137) (4 (-(((-169953 + 917053 z - 626915 z^2 + 43263 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4])/(1 + z)^7) + ((9775 - 369396 z + 1235082 z^2 - 685396 z^3 + 43263 z^4) Sinh[(3 ArcSinh[Sqrt[z]])/4])/(Sqrt[z] (1 + z)^(15/2))))










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