ZEROS OF HARMONIC TRINOMIAL WITH COMPLEX PARAMETER
Abstract
Much work has been done examining the similarities and dier-
ences between analytic and harmonic functions. Many familiar results for an-
alytic functions hold for complex-valued harmonic functions with only slight
modications. The harmonic analog of the Argument Principle for Analytic
Functions. In this paper, we study the number of zeros of harmonic trinomi-
als with complex coecients of the form q(z) = zn + azk - 1; a in C; n > k;
and gcd(n; k) = 1; we determine how the number of zeros depends on the
parameter a:
Downloads
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
