Inequalities for the polar derivative of a polynomial

被引：6
|
作者：
Dewan, K. K. [1 ]
Mir, Abdullah [1 ]
机构：
[1] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2007年 / 10卷 / 04期
关键词：
Inequalities in the complex domain; polar derivative of a polynomial;
D O I：
10.1080/09720502.2007.10700512
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let P(z) be a polynomial of degree n and P'(z) its derivative. In this paper, we shall generalize a known result of Aziz and Dawood [J. Approx. Theory, Vol. 54(1988), pp. 306-313] to the polar derivative of a polynomial. Also the case when P(z) has all its zeros in vertical bar z vertical bar <= k <= 1 with s-fold zeros at the origin has been considered.
引用
收藏
页码：525 / 531
页数：7
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