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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=17/3





http://functions.wolfram.com/07.23.03.5969.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 17/3, 7/2, -z] == (1/(3051020 z^(5/2))) (81 (Sqrt[z/(1 + z)] (-9 + 114 z + 35187 z^2 + 207432 z^3 + 431376 z^4 + 380608 z^5 + 121600 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + (27 - 350 z + 7547 z^2 + 96472 z^3 + 286672 z^4 + 319808 z^5 + 121600 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))








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