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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 3 and fixed z > For fixed z and a=-5/3, b>=a > For fixed z and a=-5/3, b=2/3





http://functions.wolfram.com/07.23.03.6624.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 2/3, -(11/2), z] == (1/(1515591 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((1515591 - 6598179 z + 10929870 z^2 - 8193998 z^3 + 2324435 z^4 + 55913 z^5 + 34408 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (505197 - 1843884 z + 2384550 z^2 - 1176068 z^3 + 73117 z^4 + 34408 z^5) Sin[ArcSin[Sqrt[z]]/3])










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