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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=19/8, b>=a > For fixed z and a=19/8, b=37/8





http://functions.wolfram.com/07.23.03.c7g9.01









  


  










Input Form





Hypergeometric2F1[19/8, 37/8, 5/2, -z] == (1/(145145 z^(3/2) (1 + z)^(9/2))) (16 (Sqrt[z] Sqrt[1 + z] (-153 + 7634 z + 1287 z^2 + 220 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (204 + 2091 z - 8250 z^2 - 1397 z^3 - 220 z^4) 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