On planar harmonic functions with identical Jacobians
Complex Variables
2025-09-12 v1
Abstract
This note provides a complete description of a family of sense preserving harmonic functions in the open unit disk that have the same Jacobians, provided that one of the representatives of this family is known.
Cite
@article{arxiv.2509.08922,
title = {On planar harmonic functions with identical Jacobians},
author = {Ivan Nikitin},
journal= {arXiv preprint arXiv:2509.08922},
year = {2025}
}
Comments
5 pages, in Russian language