Sums of two polynomials with each having real zeros symmetric with the other

被引：6

作者：

Kim, SH ^{[1
]}

机构：

[1] Seoul Natl Univ, Sch Math Sci, Seoul 151742, South Korea

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2002年 / 112卷 / 02期

关键词：

consider the polynomial equation;

D O I：

10.1007/BF02829753

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the polynomial equation [GRAPHICS] where 0 < r(1) ≤ r(2) ≤ ... ≤ r(n) All zeros of this equation lie on the imaginary axis. In this paper, we show that no two of the zeros can be equal and the gaps between the zeros in the upper half-plane strictly increase as one proceeds upward. Also we give some examples of geometric progressions of the zeros in the upper half-plane in cases n=6, 8, 10.

引用

页码：283 / 288

页数：6