English

Several properties of a class of generalized harmonic mappings

Complex Variables 2024-01-22 v1

Abstract

We call the solution of a kind of second order homogeneous partial differential equation as real kernel alpha-harmonic mappings. In this paper, the representation theorem, the Lipschitz continuity, the univalency and the related problems of the real kernel alpha-harmonic mappings are explored.

Keywords

Cite

@article{arxiv.2401.10435,
  title  = {Several properties of a class of generalized harmonic mappings},
  author = {Bo-Yong Long and Qi-Han Wang},
  journal= {arXiv preprint arXiv:2401.10435},
  year   = {2024}
}