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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021 Volume 8, Issue 2, Pages 331–337 (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.

UDC: 517.535

MSC: 30A10; 30C15

Received: 24.03.2020
Revised: 16.11.2020
Accepted: 17.12.2020

DOI: 10.21638/spbu01.2021.212



© Steklov Math. Inst. of RAS, 2024