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Abstract <p>In this paper, we determine the regions which enclose all the zeros of the generalized derivative of a polynomial. The established results provide an extension to some interesting results. Specifically, we present new geometric properties of the zeros and their bounds, which offer a deeper understanding of their distribution in the complex plane.</p>

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On the Zeros of Generalized Derivative of a Complex Polynomial

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • F. A. Bhat,
  • H. A. Dar

摘要

Abstract

In this paper, we determine the regions which enclose all the zeros of the generalized derivative of a polynomial. The established results provide an extension to some interesting results. Specifically, we present new geometric properties of the zeros and their bounds, which offer a deeper understanding of their distribution in the complex plane.