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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=1/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 1/8, -(9/2), -z] == (1/(322560 (1 + z)^(13/8))) ((322560 + 250880 z - 58140 z^2 + 10047 z^3 - 2448 z^4) Cos[(5 ArcTan[Sqrt[z]])/4] + 5 Sqrt[z] (80640 + 77840 z - 2397 z^2 + 612 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