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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=39/8





http://functions.wolfram.com/07.23.03.b5np.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, -(1/2), -z] == (1/(4 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-4 + 229 z + 6980 z^2 + 43568 z^3 + 104704 z^4 + 107776 z^5 + 39936 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1 + 1699 z + 20852 z^2 + 84944 z^3 + 153600 z^4 + 127744 z^5 + 39936 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