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Julia集和等势线上的Chebyshev多项式
  • 期刊名称：数学学报，53(2) (2010), 323-328.
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南大学数学与计量经济学院,长沙410082, [2]复旦大学数学科学学院,上海200433
  • 相关基金：国家自然科学基金资助项目（10831004,10871047）
关键词： JULIA集, CHEBYSHEV多项式, 等势线, Julia set, Chebyshev polynomial, equipotential curves
中文摘要：

用P表示一个度为d的首一多项式，Jp表示它的Julia集．本文得到Julia集Jp和其等势Гp（R）上的d^n-阶Chebyshev多项式，并举例说明二者并不总是相等．

英文摘要：

Let P be a monic polynomial of degree d, and Jp be the Julia set of P. We obtain the d^n-th Chebyshev polynomials on the Julia set Jp and on the equipotential curves Fp（R） of Jp, and give an example to show that they are not always equal.

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