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math.CA2012★ 3 cited
Convergence in $\C$ of series for the Lambert Function
German A. Kalugin, David J. Jeffrey
We study some series expansions for the Lambert function. We show that known asymptotic series converge in both real and complex domains. We establish the precise domains of co…
math.CA2010★ 7 cited
Unimodal sequences show Lambert W is Bernstein
G. A. Kalugin, D. J. Jeffrey
We consider a sequence of polynomials appearing in expressions for the derivatives of the Lambert W function. The coefficients of each polynomial are shown to form a positive seque…