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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.b7i9.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(23/8), 5/2, -z] == (1/(1041755 z^(3/2) (1 + z)^(5/8))) (16 (Sqrt[z] (215 + 78050 z - 668679 z^2 + 1187340 z^3 - 513095 z^4 + 30210 z^5 + 1175 z^6 + 48 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - 4 (43 + 2580 z - 72040 z^2 + 265155 z^3 - 235125 z^4 + 44506 z^5 + 370 z^6 + 15 z^7) Sin[(5 ArcTan[Sqrt[z]])/4]))








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