On Zeros of Polynomials with Restricted Coefficients

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 4,  2015, pp.807-816
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.4.807
Title & Authors
On Zeros of Polynomials with Restricted Coefficients

Abstract
Let $\small{P(z)={\limits\sum_{j=0}^{n}}a_jz^j}$ be a polynomial of degree n and Re $\small{a_j={\alpha}_j}$, Im $\small{a_j=B_j}$. In this paper, we have obtained a zero-free region for polynomials in terms of $\small{{\alpha}_j}$ and $\small{{\beta}_j}$ and also obtain the bound for number of zeros that can lie in a prescribed region.
Keywords
Ploynomials;Zeros;$\small{Enestr{\ddot{o}}om}$-Kakeya theroem;
Language
English
Cited by
References
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