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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=-39/8, b>=a > For fixed z and a=-39/8, b=-1/8





http://functions.wolfram.com/07.23.03.ba10.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(1/8), -(3/2), -z] == (1/(304 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-304 - 133 z + 418 z^2 + 1771 z^3 + 1764 z^4 + 560 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-76 - 57 z + 1118 z^2 + 2583 z^3 + 2044 z^4 + 560 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