On the zeros of the polar derivative of a polynomial

被引：0

作者：

Gulzar, M. H. ^{[1
]}

Zargar, B. A. ^{[1
]}

Malik, S. A. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar 190006, India

来源：

JOURNAL OF ANALYSIS | 2022年 / 30卷 / 01期

关键词：

Polar derivative; Zeros; Annulus; Polynomial;

D O I：

10.1007/s41478-021-00333-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The famous Enestrom-Kakeya theorem establishes upper bound for the moduli of the zeros of a polynomial p(z) with positive monotonic coefficients. In this paper we consider the Polar derivative of p(z) with certain notable restrictions on its coefficients and prove some glamorous results which provide generalizations and refinements of some well known results.

引用

页码：101 / 117

页数：17

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