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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=17/3





http://functions.wolfram.com/07.23.03.6423.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 17/3, -(1/2), -z] == (1/(1848 (1 + z)^(7/2))) ((-(-1848 + 49280 z + 723291 z^2 + 2575560 z^3 + 3878992 z^4 + 2671552 z^5 + 695552 z^6)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (616 + 245463 z + 1420536 z^2 + 2804048 z^3 + 2323776 z^4 + 695552 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