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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.blb6.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(3/8), -(5/2), -z] == (1/(320 Sqrt[1 + z])) (Sqrt[1 + z] (320 + 216 z - 33 z^2 + 20 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (240 + 197 z - 23 z^2 + 20 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