GROWTH OF POLYNOMIALS WITH PRESCRIBED ZEROS

被引：0
|
作者：
Pukhta, M. S. [1 ]
机构：
[1] Sher E Kashmir Univ Agr Sci & Technol Kashmir, Div Agri Engn, Srinagar 191121, Jammu & Kashmir, India
来源：
MATEMATICKI VESNIK | 2013年 / 65卷 / 01期
关键词：
Polar derivative; polynomial; Zygmund inequality; zeros;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the growth of polynomials of degree n having all their zeros on |z| = k, k <= 1. Using the notation M(p,t) = max(|z|=t) |p(z)|, we measure the growth of p by estimating { M(p,t)/M(p,1) }(s) from above for any t >= 1, s being an arbitrary positive integer. Also in this paper we improve the results recently proved by K. K. Dewan and Arty Ahuja [Growth of polynomials with prescribed zeros, J. Math. Ineq. 5 (2011), 355-361].
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页码：137 / 142
页数：6
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