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
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页码：16 / 21
页数：6
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