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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=-47/8, b>=a > For fixed z and a=-47/8, b=5/8





http://functions.wolfram.com/07.23.03.b537.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, 1/2, -z] == (1/(80883 (1 + z)^(1/8))) ((80883 + 628795 z + 1724941 z^2 + 2436933 z^3 + 1906784 z^4 + 788736 z^5 + 135168 z^6) Cos[ArcTan[Sqrt[z]]/4] - 2 Sqrt[z] (44345 + 152592 z + 245749 z^2 + 210574 z^3 + 93312 z^4 + 16896 z^5) 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