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Location of Zeros of Lacunary-Type Polynomials

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Abstract

In this paper, by relaxing the hypothesis of well-known Eneström–Kakeya theorem, we obtain a result which is applicable to the lacunary-type of polynomials and generalizes several well-known results concerning the location of zeros of polynomials. In addition to this, we show by examples that our results presents better information about the bounds of zeros of polynomials than some known results.

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Authors and Affiliations

  1. Department of Mathematics, University of Kashmir, South Campus, Anantnag, 192101, Jammu and Kashmir, India

    Irfan Ahmad Wani, Mohammad Ibrahim Mir & Ishfaq Nazir

Authors
  1. Irfan Ahmad Wani
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  2. Mohammad Ibrahim Mir
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  3. Ishfaq Nazir
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Corresponding authors

Correspondence to Irfan Ahmad Wani, Mohammad Ibrahim Mir or Ishfaq Nazir.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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The authors declare that they have no conflicts of interest.

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Wani, I.A., Mir, M.I. & Nazir, I. Location of Zeros of Lacunary-Type Polynomials. Vestnik St.Petersb. Univ.Math. 56, 57–67 (2023). https://doi.org/10.1134/S1063454123010156

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  • DOI: https://doi.org/10.1134/S1063454123010156

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