Published: 2023-09-13

On the zeros of polynomials with restricted coefficients

B. A. Zargar , M. H. Gulzar , M. Ali

Abstract

Let P(z) = Σj=0najzj be a polynomial of degree n such that anan-1 ≥ ... ≥ a1a0 ≥ 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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Zargar, B. A., Gulzar, M. H., & Ali, M. (2023). On the zeros of polynomials with restricted coefficients. Annales Mathematicae Silesianae, 37(2), 306–314. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15112
Domyślna okładka

Vol. 37 No. 2 (2023)
Published: 2023-09-21


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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