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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 2, Pages 331–337
DOI: https://doi.org/10.21638/spbu01.2021.212
(Mi vspua119)
 

MATHEMATICS

On the regions containing all the zeros of polynomials and related analytic functions

N. A. Rather, I. Dar, A. Iqbal

University of Kashmir, Srinagar, 190006, India
Abstract: In this paper, by using standard techniques we shall obtain results with relaxed hypothesis which give zero bounds for the larger class of polynomials. Our results not only generalizes several well-known results but also provide better information about the location of zeros. We also obtain a similar result for analytic functions. In addition to this, we show by examples that our result gives better information on the zero bounds of polynomials than some known results.
Keywords: polynomials, zeros, complex domain.
Received: 24.03.2020
Revised: 16.11.2020
Accepted: 17.12.2020
Document Type: Article
UDC: 517.535
MSC: 30A10; 30C15
Language: Russian
Citation: N. A. Rather, I. Dar, A. Iqbal, “On the regions containing all the zeros of polynomials and related analytic functions”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:2 (2021), 331–337
Citation in format AMSBIB
\Bibitem{RatDarIqb21}
\by N.~A.~Rather, I.~Dar, A.~Iqbal
\paper On the regions containing all the zeros of polynomials and related analytic functions
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 2
\pages 331--337
\mathnet{http://mi.mathnet.ru/vspua119}
\crossref{https://doi.org/10.21638/spbu01.2021.212}
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