Note on the Coefficient Conjecture of Clunie and Sheil-Small on the univalent harmonic mapping
Complex Variables
2026-02-17 v1
Abstract
In this article, we construct generalized harmonic univalent mappings and find its coefficients bounds. We present the counterexample to validate the coefficient conjecture proposed by Clunie and Sheil-Small for the class of functions with the help of these examples we improve the conjecture bounds of class .
Cite
@article{arxiv.2602.13613,
title = {Note on the Coefficient Conjecture of Clunie and Sheil-Small on the univalent harmonic mapping},
author = {Omendra Mishra and Asena Çetinkaya},
journal= {arXiv preprint arXiv:2602.13613},
year = {2026}
}