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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=11/3





http://functions.wolfram.com/07.23.03.5371.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, 1/2, z] == (1/25) (((25 - 801 z + 4536 z^2 - 9584 z^3 + 8640 z^4 - 2816 z^5) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] - Sqrt[z] (197 - 2104 z + 6320 z^2 - 7232 z^3 + 2816 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