G. A. Kalugin

most citedStieltjes, Poisson and other integral representations for functions of Lambert

W

4 citations · 4 across the 1 of their papers we have counts for

collaborators

2 papers

math.CV2011★ 4 cited

Stieltjes, Poisson and other integral representations for functions of Lambert $W$

German A. Kalugin, David J. Jeffrey, Robert M. Corless

We show that many functions containing $W$ are Stieltjes functions. Explicit Stieltjes integrals are given for functions $1/ W (z)$ , $W (z) / z$ , and others. We also prove a generalizat…

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…