English

Analysis on Lambert-Tsallis functions

Complex Variables 2020-11-13 v1

Abstract

In this paper, we study the Lambert-Tsallis function, which is a generalization of the Lambert function with two real parameters. We give a condition on the parameters such that there exists a complex domain touching zero on boundary which is mapped bijectively to the upper half plane by the Lambert-Tsallis function.

Keywords

Cite

@article{arxiv.2011.06199,
  title  = {Analysis on Lambert-Tsallis functions},
  author = {Hideto Nakashima and Piotr Graczyk},
  journal= {arXiv preprint arXiv:2011.06199},
  year   = {2020}
}

Comments

24 pages. arXiv admin note: text overlap with arXiv:2008.10446

R2 v1 2026-06-23T20:07:09.909Z