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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=-47/8, b>=a > For fixed z and a=-47/8, b=-33/8





http://functions.wolfram.com/07.23.03.b4pk.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(33/8), 1/2, -z] == (1/(497553 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-497553 + 24634305 z - 128725132 z^2 + 147432946 z^3 - 36791257 z^4 + 623645 z^5 + 14790 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (1005969 - 10314440 z + 10106905 z^2 + 13145480 z^3 - 7973709 z^4 + 315520 z^5 + 7395 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