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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.bfc2.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, -(5/2), -z] == (1/(4160 (1 + z)^(9/8))) ((-(-4160 + 12376 z - 40521 z^2 + 276640 z^3 + 1284864 z^4 + 946176 z^5)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1040 - 3419 z + 11284 z^2 + 247296 z^3 + 236544 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