The Image of Critical Circle and Zero-free Curve for Quadrinomials
Complex Variables
2022-12-01 v1
Abstract
The location of the zeros of a two-parameter family of complex-valued harmonic quadrinomials depends on the parameters. In this paper, we determine and demonstrate that the image of some critical circle under these two-parameter family of complex-valued harmonic quadrinomial is a hypocycloid. We also determine a zero-free curve for two-parameter family of quadratic qudrinomial.
Keywords
Cite
@article{arxiv.2211.16554,
title = {The Image of Critical Circle and Zero-free Curve for Quadrinomials},
author = {Oluma Ararso Alemu and Hunduma Legesse Geleta},
journal= {arXiv preprint arXiv:2211.16554},
year = {2022}
}
Comments
11 pages, 5 figures. arXiv admin note: text overlap with arXiv:2106.15824, arXiv:2106.15162