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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=5/3





http://functions.wolfram.com/07.23.03.5281.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 5/3, 3/2, z] == (1/38285) (3 (-((1/Sqrt[1 - z]) ((-11823 + 61615 z - 126784 z^2 + 129408 z^3 - 65728 z^4 + 13312 z^5) Cos[ArcSin[Sqrt[z]]/3])) + (1/Sqrt[z]) ((2816 - 29851 z + 82568 z^2 - 101536 z^3 + 59072 z^4 - 13312 z^5) 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