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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 3 and fixed z > For fixed z and a=10/3, b>=a > For fixed z and a=10/3, b=17/3





http://functions.wolfram.com/07.23.03.8647.01









  


  








Input Form





Hypergeometric2F1[10/3, 17/3, 7/2, -z] == (81 (Sqrt[z] (117 + 832 z + 35184 z^2 + 1920 z^3 + 256 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-351 - 2392 z - 11440 z^2 + 1792 z^3 + 256 z^4) Sinh[ArcSinh[Sqrt[z]]/3]))/ (2523136 z^(5/2) (1 + z)^(11/2))








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