On the Zeros of Polynomials with Restricted Coefficients

Autor: Zargar B. A., Gulzar M. H., Ali M.
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Annales Mathematicae Silesianae, Vol 37, Iss 2, Pp 306-314 (2023)
Druh dokumentu: article
ISSN: 2391-4238
DOI: 10.2478/amsil-2023-0016
Popis: Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1. This result has been generalized in various ways (see [1, 3, 4, 6, 7]). In this paper we shall prove some generalizations of the results due to Aziz and Zargar [1, 2] and Nwaeze [7].
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