On the zeros of the polar derivative of a polynomial

被引：0

作者：

M. H. Gulzar

B. A. Zargar

S. A. Malik

机构：

[1] University of Kashmir,Department of Mathematics

来源：

The Journal of Analysis | 2022年 / 30卷

关键词：

Polar derivative; Zeros; Annulus; Polynomial; 30C10; 30C15; 30C99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The famous Eneström-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：16

共 17 条

[1]

Aziz A(1996)Some extensions of Enestrom-Kakeya Theorem Glasnik Matematicki 31 239-244

[2]

Zargar BA(1984)Zero-free regions for polynomials and some generalizations of Enestrom-Kakeya theorem Canadian Mathematical Bulletin 27 265-272

[3]

Aziz A(1993)On the Enestrom-Kakeya theorem Journal of Mathematical Analysis and Applications 180 29-36

[4]

Mohammad QG(1979)On the derivative of a polynomial, Illinois Journal of Mathematics 23 319-329

[5]

Dewan KK(1967)On the location of zeros of polynomials Canadian Mathematical Bulletin 10 55-63

[6]

Bidkham M(2015)On the zeros of polar derivatives International Journal of Recent Research in Mathematics Computer Science and Information Technology(IJRRMCSIT) 2 143-145

[7]

Govil NK(2015)On the zeros of polar derivatives of polynomials Journal of Research in Applied Mathematics (Quest Journals) 2 7-10

[8]

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