English

An integral representation for the Lambert W function

Classical Analysis and ODEs 2021-09-13 v2

Abstract

Based on a Problem and its solution published on the pages of SIAM Review, we give an interesting integral representation for the Lambert WW function in this short note. In particular, our result yields a new integral representation for the Ω=W(1)\Omega=W(1) constant as well.

Keywords

Cite

@article{arxiv.2012.02480,
  title  = {An integral representation for the Lambert W function},
  author = {István Mező},
  journal= {arXiv preprint arXiv:2012.02480},
  year   = {2021}
}