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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=-5/3, b>=a > For fixed z and a=-5/3, b=-4/3





http://functions.wolfram.com/07.23.03.6595.01









  


  








Input Form





Hypergeometric2F1[-(5/3), -(4/3), 7/2, -z] == (81 (-9 Sqrt[z] (128 + 1408 z - 38313 z^2 - 24205 z^3 + 15388 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (3456 + 36992 z + 332160 z^2 - 1009659 z^3 + 207308 z^4) Sinh[ArcSinh[Sqrt[z]]/3]))/ (37182145 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