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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.bf26.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, -(9/2), -z] == (1/(64512 (1 + z)^(9/8))) ((64512 + 35840 z - 11180 z^2 + 7203 z^3 - 6320 z^4 + 8960 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 + 3920 z - 2697 z^2 + 2280 z^3 - 2240 z^4) 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