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Abstract <p>The main purpose of this paper is to extend various results of Eneström–Kakeya type from complex setting to quaternionic setting and obtain new bounds by virtue of maximum modulus theorem. We present some results on the location of zeros of polynomials of quaternionic variable and our new findings generalize several newly proven results concerning the distribution of a zeros of a quaternionic polynomial.</p>

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A Note on Eneström–Kakeya Theorem for Polynomial with Quaternionic Variable

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • Urba Akhter,
  • Abdul Liman

摘要

Abstract

The main purpose of this paper is to extend various results of Eneström–Kakeya type from complex setting to quaternionic setting and obtain new bounds by virtue of maximum modulus theorem. We present some results on the location of zeros of polynomials of quaternionic variable and our new findings generalize several newly proven results concerning the distribution of a zeros of a quaternionic polynomial.