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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=17/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 17/8, 3/2, -z] == (1/(1449 Sqrt[z] (1 + z)^(5/8))) (-4 Sqrt[z] (-101 + 1287 z + 3216 z^2 + 1792 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 (209 + 2373 z + 4440 z^2 + 2240 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