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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=33/8, b>=a > For fixed z and a=33/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[33/8, 47/8, 11/2, -z] == (1/(787865 z^(9/2) (1 + z)^(9/2))) (1024 (2 Sqrt[z] Sqrt[1 + z] (224 + 828 z + 1083 z^2 + 510 z^3 + 255 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - (1792 + 7856 z + 13071 z^2 + 9564 z^3 + 1275 z^4 + 510 z^5) Sinh[ArcSinh[Sqrt[z]]/4]))










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