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<p>In this paper, we are concerned with the problem of locating the zeros of lacunary polynomials of a quaternionic variable with restricted real and quaternionic coefficients. We derive bounds of Eneström–Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.</p>

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On the Zeros of a Lacunary Type of Quaternionic Polynomial with Restricted Coefficients

  • 期刊论文

  • 发表日期：

    2025年6月7日

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  • D. Tripathi

摘要

In this paper, we are concerned with the problem of locating the zeros of lacunary polynomials of a quaternionic variable with restricted real and quaternionic coefficients. We derive bounds of Eneström–Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.