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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=-8/3, b>=a > For fixed z and a=-8/3, b=17/3





http://functions.wolfram.com/07.23.03.6418.01









  


  










Input Form





Hypergeometric2F1[-(8/3), 17/3, -(5/2), z] == (1/(35640 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-35640 - 17424 z - 52360 z^2 - 478016 z^3 + 3383907 z^4 - 7193992 z^5 + 7221968 z^6 - 3556800 z^7 + 695552 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-11880 - 14168 z - 28336 z^2 + 1573839 z^3 - 4699448 z^4 + 5704400 z^5 - 3209024 z^6 + 695552 z^7) 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