[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2022.30.3.503

A NOTE ON ENSTRÖM-KAKEYA THEOREM FOR QUATERNIONIC POLYNOMIALS

Hussain, Adil (Department of Mathematics, University of Kashmir)

Publication Information

Korean Journal of Mathematics / v.30, no.3, 2022 , pp. 503-512 More about this Journal

Abstract

In this paper, we are concerned with the problem of locating the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.

Keywords

Quaternionic Polynomial; Zeros; Enestrom-Kakeya theorem;

Citations & Related Records

Reference

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