Inequalities for the Growth of a Polynomial in the Complex Domain

Siberian Mathematical Journal 2026

View at publisher
Authors: Abdullah Mir, N. Singh
DOI: 10.1134/s0037446626010209
Cited by: 0
References: 14

Abstract

This paper studies integral-type norm estimates for a polynomial that does not vanish in a disk of positive radius. We derive integral norm estimates for the growth of a polynomial in the complex plane, which include generalizations and refinements of some inequalities by Aziz, Dawood, Zargar, Shah, and the classical inequality of Ankeny and Rivlin.

Fields of Study & Subjects

Meromorphic and Entire Functions Mathematical functions and polynomials Analytic and geometric function theory

Publication details

Journal / source
Siberian Mathematical Journal
Volume
67
Issue
1
Pages
211–218
Publication date
1 January 2026
Language
EN