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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=-14/3, b>=a > For fixed z and a=-14/3, b=-10/3





http://functions.wolfram.com/07.23.03.5148.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(10/3), 11/2, -z] == (6561 (Sqrt[z] (-74317824 - 1550843904 z - 17543856128 z^2 - 163882729472 z^3 + 13210329289443 z^4 - 17643776769121 z^5 - 14881992629308 z^6 + 14376023303976 z^7 - 1741108692320 z^8 + 2796832384 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (222953472 + 4586471424 z + 51301974016 z^2 + 477034184704 z^3 + 7093534457856 z^4 - 60816777501601 z^5 + 85713178993364 z^6 - 31429049823960 z^7 + 2459894615008 z^8 + 2796832384 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (102481630431415235 z^(9/2) Sqrt[1 + z])










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