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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=25/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), 25/8, 9/2, -z] == -((1/(7405931 z^(7/2) (1 + z)^(5/8))) (256 (Sqrt[z] (4560 + 4845 z - 5643 z^2 + 1267 z^3 + 92315 z^4 + 169120 z^5 + 116480 z^6 + 28672 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (1824 + 1596 z - 2565 z^2 + 12540 z^3 + 77975 z^4 + 119434 z^5 + 76160 z^6 + 17920 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