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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=-11/3, b>=a > For fixed z and a=-11/3, b=-1/3





http://functions.wolfram.com/07.23.03.5723.01









  


  










Input Form





Hypergeometric2F1[-(11/3), -(1/3), 11/2, z] == -((6561 (Sqrt[z] (207360 - 2411520 z + 13644288 z^2 - 54114304 z^3 - 484599919 z^4 + 496454693 z^5 + 35264290 z^6 - 4807736 z^7 + 362848 z^8) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (-622080 + 7050240 z - 38925824 z^2 + 151689216 z^3 - 716528640 z^4 - 1193122853 z^5 + 32996490 z^6 - 4626312 z^7 + 362848 z^8) Sin[ArcSin[Sqrt[z]]/3]))/(4834723330255 Sqrt[1 - z] z^(9/2)))










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