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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, -(9/2), -z] == (1/(39936 (1 + z)^(25/8))) ((39936 + 33280 z - 15340 z^2 + 15145 z^3 - 23543 z^4 + 89440 z^5 + 263424 z^6 + 135168 z^7) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (9984 + 5200 z - 4641 z^2 + 5239 z^3 - 7852 z^4 - 55296 z^5 - 33792 z^6) 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