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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=-7/8





http://functions.wolfram.com/07.23.03.bmd9.01









  


  








Input Form





Hypergeometric2F1[-(19/8), -(7/8), 3/2, -z] == (1/(345 Sqrt[z] (1 + z)^(5/8))) (4 (2 Sqrt[z] (55 - 160 z + 27 z^2 + 2 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] - (19 - 261 z + 205 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