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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=-31/8, b>=a > For fixed z and a=-31/8, b=5/8





http://functions.wolfram.com/07.23.03.bf2n.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, -(1/2), -z] == (1/(836 (1 + z)^(1/8))) ((-(-836 + 3971 z + 20499 z^2 + 24400 z^3 + 8960 z^4)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (209 + 3621 z + 5400 z^2 + 2240 z^3) Sin[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