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

共 50 条

[1] SOME RESULTS IN LOCATION OF ZEROS OF POLYNOMIALS
RUBINSTEIN, Z
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (04) : 1391 - +
[2] SOME RESULTS CONCERNING THE ZEROS AND COEFFICIENTS OF POLYNOMIALS
Baba, S. A.
Liman, A.
Shah, W. M.
[J]. MATEMATICKI VESNIK, 2012, 64 (01): : 73 - 78
[3] Some monotonicity results on the zeros of the generalized Laguerre polynomials
Natalini, P
Palumbo, B
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 153 (1-2) : 355 - 360
[4] SOME RESULTS IN LOCATION OF ZEROS OF LINEAR COMBINATIONS OF POLYNOMIALS
RUBINSTE.Z
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 116 (04) : 1 - &
[5] SOME RESULTS ON THE ASYMPTOTIC-DISTRIBUTION OF THE ZEROS OF ORTHOGONAL POLYNOMIALS
VANASSCHE, W
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1985, 12-3 (MAY) : 615 - 623
[6] Some results on zeros and uniqueness of difference-differential polynomials
Kai Liu
Xin-ling Liu
Ting-bin Cao
[J]. Applied Mathematics-A Journal of Chinese Universities, 2012, 27 : 94 - 104
[7] Some results on zeros and uniqueness of difference-differential polynomials
LIU Kai LIU Xin-ling CAO Ting-bin Department of Mathematics
[J]. Applied Mathematics:A Journal of Chinese Universities, 2012, (01) : 94 - 104
[8] SOME RESULTS FOR THE ZEROS OF A CLASS OF FIBONACCI-TYPE POLYNOMIALS
Al-Saket, Amal
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01): : 45 - 52
[9] Some results on zeros and uniqueness of difference-differential polynomials
LIU Kai LIU Xinling CAO Tingbin Department of Mathematics Nanchang University Nanchang China
[J]. AppliedMathematics:AJournalofChineseUniversities(SeriesB)., 2012, 27 (01) - 104
[10] Some recent results on the zeros of Bessel functions and orthogonal polynomials
Elbert, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 65 - 83

← 1 2 3 4 5 →