四元多项式的零点位置

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

摘要

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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Location of zeros of quaternionic polynomials

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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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.