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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=-7/8, b>=a > For fixed z and a=-7/8, b=-1/8





http://functions.wolfram.com/07.23.03.bt3j.01









  


  








Input Form





Hypergeometric2F1[-(7/8), -(1/8), -(11/2), -z] == (1/(405504 (1 + z)^(9/2))) (Sqrt[1 + z] (405504 + 1642752 z + 2512160 z^2 + 1733349 z^3 + 472834 z^4 + 13949 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (101376 + 442368 z + 742916 z^2 + 582901 z^3 + 196718 z^4 + 13949 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