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On the number of zeros of a polynomial in a disk

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Abstract

The prime concern of this paper is to obtain bounds concerning the number of zeros of polynomials in a specific region. In this paper, we use a new technique which overcome the short-comings of previous known results and hence our results are applicable to a large class of polynomials. Our results also improve and generalize several well-known results concerning the location of zeros of polynomials in certain regions.

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Acknowledgements

The authors would like to thank the referee and the editor for valuable comments and suggestions which indeed improved the quality of the paper.

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Authors and Affiliations

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

    N. A. Rather, Liyaqat Ali & Aijaz Bhat

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  1. N. A. Rather
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  2. Liyaqat Ali
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  3. Aijaz Bhat
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Correspondence to Aijaz Bhat.

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Rather, N.A., Ali, L. & Bhat, A. On the number of zeros of a polynomial in a disk. Ann Univ Ferrara 70, 181–191 (2024). https://doi.org/10.1007/s11565-023-00465-6

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  • DOI: https://doi.org/10.1007/s11565-023-00465-6

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