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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=1/3, b>=a > For fixed z and a=1/3, b=14/3





http://functions.wolfram.com/07.23.03.7560.01









  


  








Input Form





Hypergeometric2F1[1/3, 14/3, 5/2, z] == (27 (Sqrt[z] (-13 + 456 z - 736 z^2 + 320 z^3) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (39 + 208 z - 576 z^2 + 320 z^3) Sin[ArcSin[Sqrt[z]]/3]))/ (14080 (1 - z)^(5/2) z^(3/2))








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