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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=-23/8, b>=a > For fixed z and a=-23/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 23/8, 3/2, -z] == (4/513) (2 (67 + 401 z + 640 z^2 + 304 z^3) Cosh[ArcSinh[Sqrt[z]]/4] - ((23 + 413 z + 1366 z^2 + 1584 z^3 + 608 z^4) Sinh[ArcSinh[Sqrt[z]]/4])/ (Sqrt[z] 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