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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=17/3





http://functions.wolfram.com/07.23.03.5962.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 17/3, 1/2, z] == (1/(28 (-1 + z))) (((-28 + 1121 z - 7480 z^2 + 17968 z^3 - 17984 z^4 + 6400 z^5) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + Sqrt[z] (249 - 3240 z + 11376 z^2 - 14784 z^3 + 6400 z^4) 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