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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=-47/8, b>=a > For fixed z and a=-47/8, b=-11/8





http://functions.wolfram.com/07.23.03.b4ww.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(11/8), 5/2, -z] == (16 (Sqrt[z] (18941 + 16932015 z - 60391622 z^2 + 20344230 z^3 + 3251705 z^4 + 699499 z^5 + 111760 z^6 + 8960 z^7) Cos[ArcTan[Sqrt[z]]/4] - 2 (37882 + 1609985 z - 21069340 z^2 + 25166254 z^3 + 381510 z^4 + 83273 z^5 + 13620 z^6 + 1120 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(258127065 z^(3/2) (1 + z)^(1/8))








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