Zeros of a Two-parameter Family of Harmonic Quadrinomials
arXiv:2106.15824 · doi:10.4314/sinet.v45i1.9
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.
12 pages. arXiv admin note: text overlap with arXiv:2106.15162