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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=2/3





http://functions.wolfram.com/07.23.03.5747.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 2/3, 11/2, z] == (6561 (Sqrt[z] (-103680 + 963840 z - 4078592 z^2 + 10671104 z^3 + 2149115 z^4 - 13605627 z^5 + 5054848 z^6 - 1176128 z^7 + 125120 z^8) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (311040 - 2799360 z + 11447296 z^2 - 28965888 z^3 + 62505472 z^4 - 11480151 z^5 + 4513704 z^6 - 1113568 z^7 + 125120 z^8) Sin[ArcSin[Sqrt[z]]/3]))/ (166714597595 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