David J. Jeffrey

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math.CA2012★ 3 cited

Convergence in $\C$ of series for the Lambert $W$ Function

German A. Kalugin, David J. Jeffrey

We study some series expansions for the Lambert $W$ function. We show that known asymptotic series converge in both real and complex domains. We establish the precise domains of co…

math.CA2010

Conjecture concerning a completely monotonic function

E. Shemyakova, S. I. Khashin, D. J. Jeffrey

Based on a sequence of numerical computations, a conjecture is presented regarding the class of functions $H (x; a) = exp (a) - (1 + a / x)^{x}$ , and the open problem of determining the values…

Convergence in $\C$ of series for the Lambert W Function

Conjecture concerning a completely monotonic function

Convergence in $\C$ of series for the Lambert $W$ Function