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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=-41/8





http://functions.wolfram.com/07.23.03.b4n1.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(41/8), -(1/2), -z] == (1/(46284 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-46284 - 2788611 z + 57786293 z^2 - 160905214 z^3 + 103427998 z^4 - 13727151 z^5 + 101065 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-11571 + 6598346 z - 28652049 z^2 + 333788 z^3 + 28503515 z^4 - 6991174 z^5 + 101065 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