Location of zeros of quaternionic polynomials

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-11-22 DOI:10.1007/s11565-024-00568-8

Idrees Qasim

引用次数: 0

Abstract

In this manuscript, we investigate bounds for the zeros of quaternionic polynomials with restricted coefficients. We find an annular region that contains all the zeros of a quaternionic polynomial. Moreover, we find zero-free regions thereby obtain improvement of Eneström-Kakeya theorem for quaternionic polynomials.

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四元多项式的零点位置

在本手稿中，我们研究了具有受限系数的四元多项式的零点边界。我们发现了一个包含四元多项式所有零点的环形区域。此外，我们还发现了无零区域，从而改进了四元多项式的 Eneström-Kakeya 定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.