On Landau-Type Theorems for Poly-Analytic Functions
Complex Variables
2026-02-25 v2
Abstract
In this paper, we establish three Landau-type theorems for certain bounded poly-analytic functions, which generalize the corresponding result for bi-analytic functions given by Liu and Ponnusamy [Canad. Math. Bull. 67(1): 2024, 152-165]. Further, we prove three bi-Lipschitz theorems for these subclasses of poly-analytic functions.
Cite
@article{arxiv.2409.08029,
title = {On Landau-Type Theorems for Poly-Analytic Functions},
author = {Vasudevarao Allu and Rohit Kumar},
journal= {arXiv preprint arXiv:2409.08029},
year = {2026}
}
Comments
15 pages, minor typos corrected