On a Complex Polynomial and Its Derivative
Keywords:polynomials, zeros, inequalities
In this paper, we prove some Turán-type inequalities for the polynomials all of whose zeros lie on a ray emanating from the origin, or symmetrically placed along this ray and having all their zeros in $$|z|\leq K$$, $$K\geq 1$$. Our results are the best possible, and examples of equality cases have been presented.
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LicenseCopyright (c) 2023 Proceedings of the Bulgarian Academy of Sciences
Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
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