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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=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5462.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 17/3, -(1/2), -z] == (1/(3 (1 + z)^(3/2))) ((-(-3 + 154 z + 3770 z^2 + 20032 z^3 + 42016 z^4 + 38400 z^5 + 12800 z^6)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (1 + 1010 z + 9424 z^2 + 27616 z^3 + 32000 z^4 + 12800 z^5) 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