Location of Zeros of Lacunary-Type Polynomials

Location of Zeros of Lacunary-Type Polynomials

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 re...

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Veröffentlicht in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2023-03, Vol.56 (1), p.57-67
Hauptverfasser: Wani, Irfan Ahmad, Mir, Mohammad Ibrahim, Nazir, Ishfaq
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:1063-4541
1934-7855
DOI:10.1134/S1063454123010156