Abstract
We give necessary and sufficient conditions for all zeros of the palindromic polynomial R(z)=1+λ(z+z 2+…+z n−1)+z n, \(\lambda\in \mathbb{R}\), to be on the unit circle and we find \(\gamma \in \mathbb{R}\) for which S(z)=R(z)+γz n, n natural, has all its zeros in the closed unit disc.
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Botta, V., Marques, L.F. & Meneguette, M. Palindromic and perturbed polynomials: zeros location. Acta Math. Hungar. 143, 81–87 (2014). https://doi.org/10.1007/s10474-013-0382-0
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DOI: https://doi.org/10.1007/s10474-013-0382-0