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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=29/8





http://functions.wolfram.com/07.23.03.c7a3.01









  


  










Input Form





Hypergeometric2F1[19/8, 29/8, 5/2, -z] == (1/(5005 z^(3/2) (1 + z)^(7/2))) (16 (Sqrt[z] Sqrt[1 + z] (-9 + 253 z + 22 z^2) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 (6 + 45 z - 132 z^2 - 11 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