Abstract

We study the arrangements of the roots in the complex planefor the lacunary harmonic polynomials called harmonic trinomials. We providenecessary and sufficient conditions so that two general harmonic trinomials havethe same set of roots up to a rotation around the origin in the complex plane, areflection over the real axis, or a composition of the previous both transformations.This extends the results of Jenő Egerváry given in [19] for the setting oftrinomials to the setting of harmonic trinomials.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.