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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=37/8





http://functions.wolfram.com/07.23.03.bc5h.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, -(3/2), -z] == (1/(48 (1 + z)^(3/2))) (Sqrt[1 + z] (48 - 623 z + 13090 z^2 + 227472 z^3 + 796000 z^4 + 1004800 z^5 + 422400 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (18 - 231 z + 36813 z^2 + 263136 z^3 + 622800 z^4 + 608000 z^5 + 211200 z^6) 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