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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=-37/8, b>=a > For fixed z and a=-37/8, b=-27/8





http://functions.wolfram.com/07.23.03.bb8x.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(27/8), -(11/2), -z] == (1/(225280 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-225280 - 702720 z - 773280 z^2 - 340085 z^3 - 43263 z^4 + 1254 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-84480 - 275840 z - 320710 z^2 - 151295 z^3 - 21318 z^4 + 627 z^5) Sinh[(3 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