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LogGamma




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > LogGamma[z] > Operations > Limit operation





http://functions.wolfram.com/06.11.25.0001.01









  


  








Input Form





Limit[LogGamma[x + I \[Epsilon]] - Log[Gamma[x + I \[Epsilon]]], \[Epsilon] -> 0] == -2 Pi I k /; Element[x, Reals] && Subscript[z, 2 k - 1] < x < Subscript[z, 2 k + 1] && PolyGamma[Subscript[z, k]] == 0 && 1.4 < Subscript[z, 0] < 1.5 && -0.6 < Subscript[z, 1] < -0.5 && -1.6 < Subscript[z, 2] < -1.5 && -2.7 < Subscript[z, 3] < -2.6 && -3.7 < Subscript[z, 4] < -3.6 && -4.7 < Subscript[z, 5] < -4.6 && -5.7 < Subscript[z, 6] < -5.6 && -6.7 < Subscript[z, 7] < -6.6 && \[Ellipsis] && Element[k, Integers] && k > 0








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