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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=-3/8





http://functions.wolfram.com/07.23.03.bey9.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(3/8), -(11/2), -z] == (1/(946176 (1 + z)^(9/8))) ((946176 + 1284864 z + 276640 z^2 - 40521 z^3 + 12376 z^4 - 4160 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (236544 + 247296 z + 11284 z^2 - 3419 z^3 + 1040 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