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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.bjrh.01









  


  








Input Form





Hypergeometric2F1[-(23/8), -(11/8), 3/2, -z] == (1/(513 Sqrt[z] (1 + z)^(1/8))) (4 (2 Sqrt[z] (67 - 200 z + 39 z^2 + 2 z^3) Cos[ArcTan[Sqrt[z]]/4] - (23 - 321 z + 265 z^2 + z^3) Sin[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