Maximal points of stable and related polynomials

被引：0

作者：

Beaucoup, F ^{[1
]}

机构：

[1] Ecole Mines, Dept Math Appl, F-42023 St Etienne, France

来源：

JOURNAL OF APPROXIMATION THEORY | 1998年 / 93卷 / 03期

关键词：

maximal points; stable polynomials; real roots; orthogonal polynomials;

D O I：

10.1006/jath.1997.3111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any polynomial having all its roots ina closed half-plane, whose boundary contains the origin, has either one or two maximal points, and only one if it has at least one root in the open half-plane. This result concerns stable polynomials as well as polynomials having only real roots, including real orthogonal polynomials. (C) 1998 Academic Press.

引用

页码：434 / 440

页数：7

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