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Bounds for the zeros of complex-coefficient polynomials

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Abstract

In this paper, we present certain results on the bounds for the moduli of the zeros of a polynomial with complex coefficients which among other things contain some generalizations and refinements of classical results due to Cauchy, Tôya, Carmichael and Mason, Williams and others.

Résumé

Nous obtenons quelques raffinements de résultats dûs à Cauchy, Tôya, Carmichael, Mason, Williams et d’autres concernant la location des zéros de polynômes algébriques.

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Acknowledgments

The authors would like to thank the anonymous referee for comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Islamic University of Science and Technology, Awantipora, 192122, India

    Suhail Gulzar

  2. Department of Mathematics, University of Kashmir, Srinagar, 190006, India

    N. A Rather

  3. Department of Mathematics, S.P. College, Srinagar, 190001, India

    K. A. Thakur

Authors
  1. Suhail Gulzar
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  2. N. A Rather
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  3. K. A. Thakur
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Correspondence to Suhail Gulzar.

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Gulzar, S., Rather , N.A. & Thakur, K.A. Bounds for the zeros of complex-coefficient polynomials. Ann. Math. Québec 41, 105–110 (2017). https://doi.org/10.1007/s40316-016-0064-8

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  • DOI: https://doi.org/10.1007/s40316-016-0064-8

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