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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=2/3





http://functions.wolfram.com/07.23.03.5236.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 2/3, 3/2, -z] == (1/38285) (3 ((1/Sqrt[1 + z]) ((9007 + 25771 z + 33332 z^2 + 24856 z^3 + 9952 z^4 + 1664 z^5) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/Sqrt[z]) ((11264 + 15771 z + 24116 z^2 + 20504 z^3 + 9120 z^4 + 1664 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