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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=7/8





http://functions.wolfram.com/07.23.03.bt7v.01









  


  










Input Form





Hypergeometric2F1[-(7/8), 7/8, -(11/2), -z] == (1/(135168 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-135168 - 661248 z - 1276256 z^2 - 1194203 z^3 - 508396 z^4 - 41847 z^5 + 27898 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-16896 - 87936 z - 183118 z^2 - 189459 z^3 - 94527 z^4 - 13949 z^5 + 13949 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