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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=37/8





http://functions.wolfram.com/07.23.03.bkk4.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 37/8, 11/2, -z] == (1024 (4 Sqrt[z] (12880 - 6210 z + 7061 z^2 - 14743 z^3 + 2577580 z^4 + 6699936 z^5 + 5896704 z^6 + 1757184 z^7) Cos[ArcTan[Sqrt[z]]/4] - (206080 - 34960 z + 65021 z^2 - 183678 z^3 + 1325053 z^4 + 5172960 z^5 + 5347584 z^6 + 1757184 z^7) Sin[ArcTan[Sqrt[z]]/4]))/ (10194789891 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