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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=-8/3, b>=a > For fixed z and a=-8/3, b=-7/3





http://functions.wolfram.com/07.23.03.6140.01









  


  










Input Form





Hypergeometric2F1[-(8/3), -(7/3), 7/2, -z] == (81 (9 Sqrt[z] (-4096 - 69632 z + 5437805 z^2 - 1865719 z^3 - 6229556 z^4 + 1139504 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (110592 + 1847296 z + 29507584 z^2 - 193948743 z^3 + 144013828 z^4 - 14246864 z^5) Sinh[ArcSinh[Sqrt[z]]/3]))/ (4775249765 z^(5/2) 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