On the Problem of Kakeya
Abstract Let p(z) be a complex polynomial of degree n, having k of its zeros in the unit disc. We prove that at least one zero of p(k−1)(z) lies in the disc |z| ≤ 2(n−k+1) ln 2 .
engleski
2025
© All rights reserved
Key words: zeros of polynomial, critical points of a polynomial, apolar polynomials 2020 Mathematics Subject Classification: Primary 26C10, Seconda- ry 30C15