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On the number of zeros of a polynomial in a disk

On the number of zeros of a polynomial in a disk 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

On the number of zeros of a polynomial in a disk

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References (4)

Publisher
Springer Journals
Copyright
Copyright © The Author(s) under exclusive license to Università degli Studi di Ferrara 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/s11565-023-00465-6
Publisher site
See Article on Publisher Site

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.

Journal

ANNALI DELL UNIVERSITA DI FERRARASpringer Journals

Published: May 5, 2023

Keywords: Polynomials; Zeros; Complex domian; 30C15; 30C10; 30E10

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