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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=1/8, b>=a > For fixed z and a=1/8, b=37/8





http://functions.wolfram.com/07.23.03.by0q.01









  


  








Input Form





Hypergeometric2F1[1/8, 37/8, 9/2, -z] == (1/(2127411 z^(7/2) (1 + z)^(1/8))) (256 (Sqrt[z] (-80 + 139 z - 240 z^2 + 8960 z^3) Cos[ArcTan[Sqrt[z]]/4] - 8 (-40 + 57 z - 95 z^2 + 280 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