The zeros of Faber polynomials generated by an m-star

被引：3
|
作者：
Kuijlaars, ABJ
机构：
[1] Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, 1018 TV Amsterdam
来源：
MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 213期
关键词：
Faber polynomials; zero distribution; Chebyshev quadrature;
D O I：
10.1090/S0025-5718-96-00684-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the zeros of the Faber polynomials generated by a regular m-star are located on the nz-star. This proves a recent conjecture of J. Bartolomeo and M. He. The proof uses the connection between zeros of Faber polynomials and Chebyshev quadrature formulas.
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页码：151 / 156
页数：6
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