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variants of this functions
PolyLog




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[nu,z] > Integral representations > Contour integral representations





http://functions.wolfram.com/10.08.07.0007.01









  


  








Input Form





PolyLog[n, z] == (-(1/(2 Pi I))) ContourIntegrate[ (Gamma[s + 1] Gamma[-s]^(n + 1))/Gamma[1 - s]^n/(-z)^s, {s, \[ScriptCapitalL]}] /; Abs[Arg[-z]] < Pi && Element[n, Integers] && n > 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)





2001-10-29