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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=37/8, b>=a > For fixed z and a=37/8, b=41/8





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









  


  








Input Form





Hypergeometric2F1[37/8, 41/8, 5/2, -z] == (1/(7975 z^(3/2) (1 + z)^(53/8))) (16 (Sqrt[z] (-5 + 355 z - 411 z^2 + 29 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 (2 + 57 z - 260 z^2 + 85 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