A Private Case of Sendov's Conjecture

Todor Stoyanov Stoyanov


In this paper, we prove Sendov’s conjecture, when a polynomial is with real coefficients and the conjecture is relevant to the zeros, which belong to the set M = D (0, 1) ∩ [D (1, 1) ∪ D (−1, 1)]. We can see it in Figure 1. The conjecture is true for the filled areas.


zeros, complex polynomial, real polynomial, disk, derivative, integral.

Full Text: