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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=-19/8





http://functions.wolfram.com/07.23.03.bbc5.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(19/8), -(3/2), -z] == (1/(2448 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-2448 - 18615 z - 94197 z^2 + 273999 z^3 + 33649 z^4 + 4180 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-1836 - 14229 z + 246349 z^2 + 290301 z^3 + 35739 z^4 + 4180 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