Zeros of harmonic polynomials with complex coefficients
Tom 168 / 2022
Colloquium Mathematicum 168 (2022), 119-126
MSC: 30C10, 30C15, 42A50.
DOI: 10.4064/cm7874-4-2021
Opublikowany online: 15 November 2021
Streszczenie
We study the maximal number of zeros of harmonic polynomials with complex coefficients. We also study the zeros of harmonic polynomials with complex coefficients which admit a decomposition where P_{n} and Q_{m} are polynomials of degree n and m (respectively), with n \gt m.