Polynomials with only real zeros

被引：0

作者：

Srimud, K. ^{[1
]}

Tadee, S. ^{[2
]}

Laohakosol, V. ^{[3
]}

机构：

[1] Rajamangala Univ Technol, Fac Sci & Technol, Dept Math & Comp Sci, Thanyaburi, Pathumthani, Thailand

[2] Thepsatri Rajabhat Univ, Fac Sci & Technol, Dept Math, Lopburi, Thailand

[3] Kasetsart Univ, Fac Sci, Dept Math, Bangkok, Thailand

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2016年 / 10卷

关键词：

Polynomials; real zeros; alternate; interlace; l-alternates;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The conditions for a sequence of polynomials to have only real zeros based on the method of interlacing zero was investigated by Lily L. Liu and Yi Wang. In this paper we will find new conditions for a combination of real polynomials, continues to have only real zeros based on the method of interlacing zero.

引用

页码：61 / 67

页数：7

共 5 条

[1] Further investigations involving rook polynomials with only real zeros [J].

Haglund, J .

EUROPEAN JOURNAL OF COMBINATORICS, 2000, 21 (08) :1017-1037

[2] A unified approach to polynomial sequences with only real zeros [J].

Liu, Lily L. ;

Wang, Yi .

ADVANCES IN APPLIED MATHEMATICS, 2007, 38 (04) :542-560

[3]

Srimud K., 2011, SCI TECHNOLOGY RMUTT, V1, P39

[4] TOTAL POSITIVITY OF HADAMARD-PRODUCTS [J].

WAGNER, DG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 163 (02) :459-483

[5] Polynomials with real zeros and Polya frequency sequences [J].

Wang, Y ;

Yeh, YN .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2005, 109 (01) :63-74

← 1 →