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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 31/8, -(3/2), -z] == (1/(48 (1 + z)^(5/2))) (Sqrt[1 + z] (48 - 259 z + 2585 z^2 + 19624 z^3 + 30096 z^4 + 13376 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (12 - 61 z + 9471 z^2 + 33000 z^3 + 36784 z^4 + 13376 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