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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=-2/3, b>=a > For fixed z and a=-2/3, b=17/3





http://functions.wolfram.com/07.23.03.7246.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 17/3, 5/2, -z] == (27 (Sqrt[z] (19 + 3352 z + 12000 z^2 + 13760 z^3 + 5120 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-57 + 912 z + 7040 z^2 + 11200 z^3 + 5120 z^4) Sinh[ArcSinh[Sqrt[z]]/3]))/ (98560 z^(3/2) (1 + z)^(5/2))








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