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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=45/8





http://functions.wolfram.com/07.23.03.c7mv.01









  


  








Input Form





Hypergeometric2F1[19/8, 45/8, 11/2, -z] == -((1/(2608463 z^(9/2) (1 + z)^(5/2))) (1024 (-4 Sqrt[z] Sqrt[1 + z] (1680 + 2090 z - 176 z^2 - 55 z^3 + 990 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (8960 + 18800 z + 8283 z^2 - 1309 z^3 + 1760 z^4 + 3960 z^5) 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