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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=-21/8, b>=a > For fixed z and a=-21/8, b=-3/8





http://functions.wolfram.com/07.23.03.blb2.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(3/8), -(7/2), -z] == (1/(256 Sqrt[1 + z])) (Sqrt[1 + z] (256 + 144 z - 15 z^2 + 4 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (192 + 136 z - 13 z^2 + 4 z^3) 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