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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=-3/8, b>=a > For fixed z and a=-3/8, b=1/8





http://functions.wolfram.com/07.23.03.bve2.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 1/8, -(11/2), -z] == (1/(315392 (1 + z)^(37/8))) ((315392 + 1209600 z + 1690080 z^2 + 970225 z^3 + 134250 z^4 - 38335 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (98560 + 396480 z + 599487 z^2 + 404645 z^3 + 103520 z^4) 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