A Private Case of Sendov's Conjecture
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i4.3737Keywords:
zeros, complex polynomial, real polynomial, disk, derivative, integral.Abstract
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.
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Published
2020-10-31
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Nonlinear Analysis
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How to Cite
A Private Case of Sendov’s Conjecture. (2020). European Journal of Pure and Applied Mathematics, 13(4), 807-813. https://doi.org/10.29020/nybg.ejpam.v13i4.3737