ROOTS OF COMPLEX HARMONIC POLYNOMIALS IN ONE VARIABLE
DOI:
https://doi.org/10.18173/2354-1059.2025-0050Từ khóa:
harmonic functions, harmonic polynomials, complex polynomialsTóm tắt
In this paper, we establish some bounds on the moduli of the zeros of complex harmonic polynomials in one variable. We also present explicit examples that illustrate these results. Our findings contribute to a deeper understanding of zeros of complex harmonic polynomials in one variable.
Tài liệu tham khảo
[1] Prasolov V, (2004). Polynomials. Algorithms and Computation in Mathematics (ACM).
[2] Axler S, Bourdon P & Ramey W, (2001). Harmonic Function Theory. Graduate Texts in Mathematics.
[3] Wilmshurst S, (1998). The valence of harmonic polynomials. Proceedings of the American Mathematical Society, 126(7), 2077-2081.
[4] G´abor S, (2010). On the roots of the trinomial equation. Central European Journal of Operations Research, 18(1), 97-104.
[5] Kennedy E, (1940). Bounds for the Roots of a trinomial equation. The American Mathematical Monthly, 47(7), 468-470.
