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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=11/8, b>=a > For fixed z and a=11/8, b=47/8





http://functions.wolfram.com/07.23.03.c3ww.01









  


  








Input Form





Hypergeometric2F1[11/8, 47/8, 3/2, -z] == (1/(27807 Sqrt[z] (1 + z)^(43/8))) (4 (Sqrt[z] (5541 + 4262 z + 3201 z^2 + 1392 z^3 + 256 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - (-1881 + 2898 z + 2259 z^2 + 1016 z^3 + 192 z^4) Sin[(3 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