A GAUSS-LUCAS TYPE THEOREM ON THE LOCATION OF THE ROOTS OF A POLYNOMIAL

被引：0

作者：

BUHMANN, MD ^{[1
]}

RIVLIN, TJ ^{[1
]}

机构：

[1] IBM CORP,THOMAS J WATSON RES CTR,DEPT MATH SCI,YORKTOWN HTS,NY 10598

来源：

JOURNAL OF APPROXIMATION THEORY | 1991年 / 67卷 / 02期

关键词：

D O I：

10.1016/0021-9045(91)90020-B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove a geometrical relationship between the zeros of a polynomial p of order m, say, and the zeros of another polynomial which is derived from p by multiplying each of p's coefficients, call them {αk}k = 0m, by a power of k or by k2 + 2kλ for λ > 0. © 1991.

引用

页码：235 / 238

页数：4

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