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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=-4/3





http://functions.wolfram.com/07.23.03.4650.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(4/3), 5/2, -z] == (27 (Sqrt[z] (-32768 + 9937621 z - 13242791 z^2 - 21589532 z^3 + 1974240 z^4 + 409984 z^5 + 64512 z^6 + 5120 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (98304 + 3997696 z - 48674375 z^2 + 52526252 z^3 + 1791840 z^4 + 379648 z^5 + 61952 z^6 + 5120 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(304557175 z^(3/2) Sqrt[1 + z])








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