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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=-23/8, b>=a > For fixed z and a=-23/8, b=-11/8





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









  


  










Input Form





Hypergeometric2F1[-(23/8), -(11/8), 11/2, -z] == (1024 (2 Sqrt[z] (1120 + 13620 z + 83273 z^2 + 381510 z^3 + 25166254 z^4 - 21069340 z^5 + 1609985 z^6 + 37882 z^7) Cos[ArcTan[Sqrt[z]]/4] - (8960 + 111760 z + 699499 z^2 + 3251705 z^3 + 20344230 z^4 - 60391622 z^5 + 16932015 z^6 + 18941 z^7) Sin[ArcTan[Sqrt[z]]/4]))/ (46563664173 z^(9/2) (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