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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/07.23.03.8604.01









  


  










Input Form





Hypergeometric2F1[10/3, 14/3, 3/2, z] == -((3 (Sqrt[z] (-2813 - 11838 z - 5064 z^2 + 32 z^3) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (247 + 3426 z + 2856 z^2 + 32 z^3) Sin[ArcSin[Sqrt[z]]/3]))/ (8192 (-1 + z)^6 Sqrt[(-(-1 + z)) z]))










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