SOME RESULTS ON THE GEOMETRY OF THE ZEROS OF POLYNOMIALS

被引：0

作者：

Diaz-Barrero, J. L. ^{[1
]}

Egozcue, J. J. ^{[1
]}

Popescu, P. G. ^{[2
]}

机构：

[1] Appl Math III Polytech Univ Catalonia, Barcelona 08034, Spain

[2] Politehn Univ, Fac Sci Appl, Bucharest, Romania

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2011年 / 12卷 / 01期

关键词：

Geometry of polynomials; Location of zeros; Convex hull; Reflection coefficients; Unit circle problem;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A necessary and sufficient condition for a polynomial with complex coefficients to have all its zeros on the unit circle, generalizing a classical result established by Schur in 1917, is presented. Furthermore, incomplete polynomials are revisited and as a consequence a generalization of a theorem of Cohn on location of zeros of polynomials is also given

引用

页码：16 / 21

页数：6

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