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LogIntegral




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > LogIntegral[z] > Integral representations > Contour integral representations





http://functions.wolfram.com/06.36.07.0002.01









  


  








Input Form





LogIntegral[z] == EulerGamma - (1/2) (Log[1/Log[z]] - Log[Log[z]]) - (1/(2 Pi I)) ContourIntegrate[(Gamma[s + 1] Gamma[-s]^2)/Gamma[1 - s]^2/ (-Log[z])^s, {s, \[ScriptCapitalL]}]








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