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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.c3xb.01









  


  










Input Form





Hypergeometric2F1[11/8, 47/8, 9/2, -z] == (1/(1418157 z^(7/2) (1 + z)^(19/8))) (256 (Sqrt[z] (2640 - 187 z - 1221 z^2 + 11280 z^3 + 8960 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (1760 + 132 z - 891 z^2 + 3740 z^3 + 3360 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