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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=4/3, b>=a > For fixed z and a=4/3, b=14/3





http://functions.wolfram.com/07.23.03.8001.01









  


  








Input Form





Hypergeometric2F1[4/3, 14/3, -(1/2), -z] == (1/(1536 (1 + z)^(13/2))) ((-(-1536 - 29184 z + 115991 z^2 + 7434 z^3 + 1800 z^4 + 224 z^5)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (512 - 40261 z + 6618 z^2 + 1688 z^3 + 224 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