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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=7/3, b>=a > For fixed z and a=7/3, b=14/3





http://functions.wolfram.com/07.23.03.8359.01









  


  








Input Form





Hypergeometric2F1[7/3, 14/3, 11/2, -z] == (6561 (Sqrt[z] (-2835 - 3540 z - 304 z^2 + 128 z^3) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (8505 + 8100 z - 368 z^2 + 128 z^3) Sinh[ArcSinh[Sqrt[z]]/3]))/(585728 z^(9/2) (1 + z)^(3/2))








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