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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=-31/8, b>=a > For fixed z and a=-31/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, 11/2, -z] == (1024 (2 Sqrt[z] Sqrt[1 + z] (1120 - 3860 z + 13563 z^2 - 64042 z^3 + 12237159 z^4 + 54671056 z^5 + 89054064 z^6 + 63562752 z^7 + 16853760 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (8960 - 24720 z + 86539 z^2 - 434852 z^3 + 5528919 z^4 + 63510502 z^5 + 184612208 z^6 + 237457440 z^7 + 143979264 z^8 + 33707520 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/(23553480093 z^(9/2) Sqrt[1 + z])








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