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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=29/8, b>=a > For fixed z and a=29/8, b=41/8





http://functions.wolfram.com/07.23.03.cb3x.01









  


  










Input Form





Hypergeometric2F1[29/8, 41/8, 3/2, -z] == (1/(825 Sqrt[z] (1 + z)^(53/8))) (4 (2 Sqrt[z] (85 - 260 z + 57 z^2 + 2 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] + (29 - 411 z + 355 z^2 - 5 z^3) 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