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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=-8/3, b>=a > For fixed z and a=-8/3, b=2/3





http://functions.wolfram.com/07.23.03.6194.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 2/3, -(11/2), -z] == (1/(1515591 (1 + z)^(7/2))) ((1515591 + 4898880 z + 5307498 z^2 + 1884980 z^3 - 49929 z^4 + 20196 z^5 - 20944 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (505197 + 1277451 z + 909027 z^2 + 67881 z^3 - 30668 z^4 + 20944 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