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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.bhr8.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 9/8, 21/4, z] == (16 2^(1/4) (-4 (146718 - 1066527 z + 3301782 z^2 - 5493774 z^3 - 1743350 z^4 + 1050005 z^5 - 342550 z^6 + 47600 z^7) + (1/Sqrt[1 - z]) (586872 - 4559544 z + 15266823 z^2 - 28082076 z^3 + 40549250 z^4 - 39024180 z^5 + 20505655 z^6 - 6004400 z^7 + 761600 z^8)))/(607076575 (1 + Sqrt[1 - z])^(1/4) 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