On the derivatives of a polynomial with restricted zeros

被引：0

作者：

Aijaz Bhat ^{[1
]}

Naseer Wani ^{[2
]}

N. A. Rather ^{[2
]}

机构：

[1] Govt Degree College Drass Kargil,Department of Mathematics

[2] University of Kashmir,undefined

来源：

Complex Analysis and its Synergies | 2024年 / 10卷 / 3期

关键词：

Polynomials; Inequalities; Complex domain; 30C10; 30A10; 30C15;

D O I：

10.1007/s40627-024-00141-1

中图分类号：

学科分类号：

摘要：

In this paper, we establish some generalizations of the upper bound estimates for the modulus of the derivative of a polynomial on the unit disk while accounting for the positioning of the zeros and extremal coefficients of the underlying polynomial. We shall also extend the obtained results to the polar derivative of a polynomial. The estimates obtained sharpen as well as generalize some recently proved Erdös–Lax type inequalities.

引用

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