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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=10/3, b>=a > For fixed z and a=10/3, b=14/3





http://functions.wolfram.com/07.23.03.8600.01









  


  










Input Form





Hypergeometric2F1[10/3, 14/3, -(1/2), z] == (1/(24576 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((24576 - 974848 z - 12362903 z^2 - 17470146 z^3 - 3772856 z^4 + 12512 z^5) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (8192 + 2452933 z + 6681918 z^2 + 2359000 z^3 + 12512 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