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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=4





http://functions.wolfram.com/07.23.03.5391.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 4, -(2/3), z] == (1/19683) (3 (6561 + 183708 z - 3154690 z^2 + 8587040 z^3 - 6021400 z^4) - 3080 z^(5/3) (-616 + 3927 z - 7140 z^2 + 3910 z^3) Log[1 - z^(1/3)] - 3080 (-1)^(2/3) z^(5/3) (-616 + 3927 z - 7140 z^2 + 3910 z^3) Log[1 + (-1)^(1/3) z^(1/3)] + 3080 (-1)^(1/3) z^(5/3) (-616 + 3927 z - 7140 z^2 + 3910 z^3) Log[1 - (-1)^(2/3) z^(1/3)])










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