Zeros of a Two-parameter Family of Harmonic Quadrinomials
Complex Variables
2022-07-19 v1
Abstract
In this paper, we determine the numb er of zeros and the zero inclusion regions of a two-parameter family of harmonic quadrinomials. We also determine a curve that separates sense-preserving and sense-reversing regions for these families of quadrinomials. Our work makes practical and effective use of the work of Wilmshurst, Khavinson, Dehmer, and also Bezouts theorem in the plane.
Keywords
Cite
@article{arxiv.2106.15824,
title = {Zeros of a Two-parameter Family of Harmonic Quadrinomials},
author = {Oluma Ararso Alemu and Hunduma Legesse Geleta},
journal= {arXiv preprint arXiv:2106.15824},
year = {2022}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:2106.15162