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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=14/3





http://functions.wolfram.com/07.23.03.5916.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 14/3, -(1/2), -z] == (1/(3 (1 + z)^(3/2))) ((-(-3 + 98 z + 1528 z^2 + 5072 z^3 + 6080 z^4 + 2432 z^5)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (1 + 512 z + 2944 z^2 + 4864 z^3 + 2432 z^4) 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