On the complex polynomial inequalities concerning some operators
Serdica Mathematical Journal, Tome 50 (2024) no. 2, pp. 151-172
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In this paper, we establish some new polynomial inequalities involving various operators and their relationship with the existing results. All these inequalities have been proved under the assumption that the underlying polynomial is being constrained with respect to its zeros.
Keywords:
polynomial, zeros, inequalities in complex plane, Rouche's theorem, B-operator, polar derivative, 30A10, 30C10, 30C15
Akhter, Tawheeda; Malik, Shabir. On the complex polynomial inequalities concerning some operators. Serdica Mathematical Journal, Tome 50 (2024) no. 2, pp. 151-172. http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a4/
@article{SMJ2_2024_50_2_a4,
author = {Akhter, Tawheeda and Malik, Shabir},
title = {On the complex polynomial inequalities concerning some operators},
journal = {Serdica Mathematical Journal},
pages = {151--172},
year = {2024},
volume = {50},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a4/}
}