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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=-17/3, b>=a > For fixed z and a=-17/3, b=5/3





http://functions.wolfram.com/07.23.03.4739.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5/3, -(1/2), -z] == (1/(285 Sqrt[1 + z])) ((-(-285 + 5225 z + 61742 z^2 + 190152 z^3 + 256288 z^4 + 161280 z^5 + 38912 z^6)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (95 + 23014 z + 110328 z^2 + 190240 z^3 + 141824 z^4 + 38912 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