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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=41/8





http://functions.wolfram.com/07.23.03.b89b.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 41/8, 1/2, -z] == (1/(181815 (1 + z)^(5/8))) ((-(-181815 - 4235505 z + 17439440 z^2 + 270167296 z^3 + 791429120 z^4 + 881262592 z^5 + 338690048 z^6)) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (2414817 + 47973030 z + 265577344 z^2 + 598908416 z^3 + 590479360 z^4 + 211681280 z^5) 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