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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=19/8, b>=a > For fixed z and a=19/8, b=39/8





http://functions.wolfram.com/07.23.03.c7iq.01









  


  








Input Form





Hypergeometric2F1[19/8, 39/8, 11/2, -z] == (1/(133331 z^(9/2) (1 + z)^(11/8))) (1024 (Sqrt[z] (6720 + 4840 z - 1199 z^2 + 528 z^3) Cos[(3 ArcTan[Sqrt[z]])/4] - (8960 + 7760 z - 957 z^2 + 396 z^3) Sin[(3 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