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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=17/3





http://functions.wolfram.com/07.23.03.6845.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 17/3, -(5/2), z] == (1/(114048 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((114048 - 316800 z - 108416 z^2 - 581504 z^3 + 2770987 z^4 - 4478300 z^5 + 3631472 z^6 - 1500928 z^7 + 252928 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (38016 - 78848 z - 88704 z^2 + 1493759 z^3 - 3146372 z^4 + 2975856 z^5 - 1374464 z^6 + 252928 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