D. J. Jeffrey

activity

19952023

most citedUnimodal sequences show Lambert W is Bernstein

7 citations · 20 across the 11 of their papers we have counts for

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3 papers · 1 filter

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★ 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…

math.CA1995

On the inversion of $y^{α} e^{y}$ in terms of associated Stirling numbers

David J. Jeffrey, Robert M. Corless, David E. G. Hare +1

The function $y = Φ_{α} (x)$ , the solution of $y^{α} e^{y} = x$ for $x$ and $y$ large enough, has a series expansion in terms of $ln x$ and $ln ln x$ , with coefficients given in terms of Sti…

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

Unimodal sequences show Lambert W is Bernstein

On the inversion of yαey in terms of associated Stirling numbers

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

On the inversion of $y^{α} e^{y}$ in terms of associated Stirling numbers