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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
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
Linking options:
https://www.mathnet.ru/eng/vspua119 https://www.mathnet.ru/eng/vspua/v8/i2/p331
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