• On the Zeros of a Polynomial

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      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0037-0043

    • Keywords

       

      Upper bound; 𝑝 zeros of smallest moduli; refinement; Eneström–Kakeya theorem.

    • Abstract

       

      For a polynomial of degree 𝑛, we have obtained an upper bound involving coefficients of the polynomial, for moduli of its 𝑝 zeros of smallest moduli, and then a refinement of the well-known Eneström–Kakeya theorem (under certain conditions).

    • Author Affiliations

       

      V K Jain1

      1. Mathematics Department, Indian Institute of Technology, Kharagpur 721 302, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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