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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=25/8, b>=a > For fixed z and a=25/8, b=31/8





http://functions.wolfram.com/07.23.03.c9mc.01









  


  








Input Form





Hypergeometric2F1[25/8, 31/8, -(5/2), -z] == (1/(1472 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-1472 - 20424 z - 165577 z^2 - 1774772 z^3 + 5700618 z^4 - 2001036 z^5 + 41847 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-368 - 5221 z - 42941 z^2 - 13677506 z^3 + 19654854 z^4 - 4150473 z^5 + 41847 z^6) 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