Complex branches of a generalised Lambert $W$ function arising from $p,q$--binomial coefficients
Complex Variables
2023-11-28 v2 Statistical Mechanics
Classical Analysis and ODEs
Abstract
The -function, which solves the equation for , has a natural connection to the renowned Lambert function and also physical relevance through its connection to the Lenz-Ising model of ferromagnetism. We give a detailed analysis of its complex branches and construct Riemann surfaces from these under various conditions of , unveiling intriguing new links to the Lambert function.
Cite
@article{arxiv.2306.16362,
title = {Complex branches of a generalised Lambert $W$ function arising from $p,q$--binomial coefficients},
author = {Per Åhag and Rafał Czyż and Per-Håkan Lundow},
journal= {arXiv preprint arXiv:2306.16362},
year = {2023}
}