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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=11/3





http://functions.wolfram.com/07.23.03.7957.01









  


  










Input Form





Hypergeometric2F1[4/3, 11/3, -(5/2), -z] == (1/(103680 (1 + z)^(15/2))) ((103680 + 986112 z + 4836352 z^2 + 24610816 z^3 - 39225333 z^4 - 842996 z^5 - 68816 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (34560 + 304384 z + 1400576 z^2 - 17832159 z^3 + 808588 z^4 + 68816 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