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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=-3/8, b>=a > For fixed z and a=-3/8, b=33/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 33/8, 3/2, -z] == (1/(255 Sqrt[z] (1 + z)^(13/8))) (4 ((-Sqrt[z]) (-15 + 240 z + 256 z^2) Cos[(5 ArcTan[Sqrt[z]])/4] + (39 + 360 z + 320 z^2) Sin[(5 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