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variants of this functions
ProductLog






Mathematica Notation

Traditional Notation









Elementary Functions > ProductLog[k,z] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/01.32.06.0002.01









  


  










Input Form





ProductLog[k, z] == w - \[Zeta] - Sum[Sum[(((-1)^n StirlingS1[n, 1 - m + n])/m!) \[Zeta]^m, {m, 1, n}]/w^n, {n, 1, Infinity}] /; (z -> 0 | Infinity) && w == Log[z] + 2 I k Pi && \[Zeta] == Log[w] && !(k == 0 && Abs[z] < E^2) && !(k == -1 && IntervalMemberQ[Interval[{-(1/E), 0}], z])










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





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