ON THE ZEROS OF POLYNOMIALS WITH CONCENTRATION AT LOW DEGREES .2.

被引：0

作者：

BEAUZAMY, B

CHOU, S

机构：

[1] Institut de Calcul Mathématique, Université de Paris 7, 75251 Paris Cedex 05

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 175卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P be a polynomial with concentration d at degree k, with zeros written in increasing order of moduli: 0 ≤ |z1| ≤ |z2|≤ ··· . We show that the quantity |∑j < k is bounded from above by a number depending only on d and k, for which we give numerical estimates. More precise ones are obtained for Hurwitz polynomials. We finally show that the theory built for Hurwitz polynomials can be extended to a class of entire functions. © 1993 Academic Press, Inc.

引用

页码：360 / 379

页数：20

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