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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=37/8





http://functions.wolfram.com/07.23.03.bm05.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, 5/2, -z] == (1/(7975 z^(3/2))) (16 (Sqrt[z] (-3 + 576 z + 3552 z^2 + 6144 z^3 + 3200 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (4 (-1 + 25 z + 446 z^2 + 1556 z^3 + 1936 z^4 + 800 z^5) Sinh[(3 ArcSinh[Sqrt[z]])/4])/Sqrt[1 + z]))








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