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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 8 and fixed z and a<0 > For fixed z and a=-43/8, b>=a > For fixed z and a=-43/8, b=-23/8





http://functions.wolfram.com/07.23.03.b7il.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(23/8), 11/2, -z] == (1024 (Sqrt[z] (11200 + 233400 z + 2644305 z^2 + 24885975 z^3 + 1518478741 z^4 - 6342259677 z^5 + 6262606275 z^6 - 1661681595 z^7 + 65882055 z^8 + 1696073 z^9 + 48144 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] - (8960 + 185040 z + 2080707 z^2 + 19517721 z^3 + 295372875 z^4 - 3844137635 z^5 + 7395334245 z^6 - 3845425461 z^7 + 466210617 z^8 + 2131375 z^9 + 60180 z^10) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (1172146681277 z^(9/2) (1 + z)^(5/8))








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