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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=-11/3, b>=a > For fixed z and a=-11/3, b=-4/3





http://functions.wolfram.com/07.23.03.5696.01









  


  










Input Form





Hypergeometric2F1[-(11/3), -(4/3), 7/2, -z] == (81 (Sqrt[z] (-36864 - 593920 z + 39161281 z^2 + 124469 z^3 - 38774332 z^4 + 869584 z^5 + 50048 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (110592 + 1748992 z + 25608192 z^2 - 144497131 z^3 + 74133244 z^4 + 844560 z^5 + 50048 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/ (3877083665 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