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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=-27/8, b>=a > For fixed z and a=-27/8, b=9/8





http://functions.wolfram.com/07.23.03.bhr6.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 9/8, 9/2, -z] == -((1/(4792073 z^(7/2) (1 + z)^(5/8))) (256 (Sqrt[z] (2160 + 14175 z + 38412 z^2 + 28666 z^3 + 44396 z^4 + 31327 z^5 + 11600 z^6 + 1792 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - 8 (216 + 1377 z + 3582 z^2 + 4059 z^3 + 7865 z^4 + 5236 z^5 + 1865 z^6 + 280 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