Bounds for the zeros of a quaternionic polynomial with restricted coefficients

	Bounds for the zeros of a quaternionic polynomial with restricted coefficients
International Journal of Nonlinear Analysis and Applications
مقاله 140، دوره 14، شماره 1، فروردین 2023، صفحه 1809-1816 اصل مقاله (326.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26707.3393
نویسنده
Adil Hussain Malik^*
Department of Mathematics, University of Kashmir, Srinagar-190006, India
تاریخ دریافت: 07 فروردین 1401، تاریخ پذیرش: 15 مهر 1401
چکیده
The problem of determining the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients is addressed in this study. We derive new bounds of the Enestrom-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 findings generalise several newly proven conclusions concerning the distribution of zeros of a quaternionic polynomial.
کلیدواژه‌ها
Quaternionic Polynomial؛ Zeros؛ Enestrom-Kakeya Theorem

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