Robert M Corless

activity

20112017

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

W

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.HO2017

Gamma and Factorial in the Monthly

Jonathan M. Borwein, Robert M. Corless

The Monthly has published roughly fifty papers on the $Γ$ function or Stirling's formula. We survey those papers (discussing only our favourites in any detail) and place them in th…

math.CO2016

Narayana, Mandelbrot, and A New Kind of Companion Matrix

Eunice Y. S. Chan, Robert M. Corless

We demonstrate a new kind of companion matrix, for polynomials of the form $c (λ) = λa (λ) b (λ) + c_{0}$ where upper Hessenberg companions are known for the polynomials $a (λ)$ and $b(λ)…

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…