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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.bfug.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, 9/2, -z] == (1/(287627301 z^(7/2))) (256 (Sqrt[z] (-80 + 573 z - 4113 z^2 + 1187234 z^3 + 6449968 z^4 + 12394080 z^5 + 10199808 z^6 + 3064320 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) (2 (-160 + 1036 z - 7425 z^2 + 121624 z^3 + 1690373 z^4 + 5781776 z^5 + 8555472 z^6 + 5865984 z^7 + 1532160 z^8) 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