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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=15/8





http://functions.wolfram.com/07.23.03.bf9c.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 15/8, 9/2, -z] == (1/(1054633437 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-57040 - 264523 z - 324415 z^2 + 4647669 z^3 + 8156187 z^4 + 6545682 z^5 + 2642640 z^6 + 434720 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 2 (-114080 - 607476 z - 1003191 z^2 + 648830 z^3 + 4027868 z^4 + 5562934 z^5 + 3906331 z^6 + 1430000 z^7 + 217360 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