期刊论文

Liu, Gang

英文

Journal of Mathematical Analysis and Applications

0022-247X

2015

432

1

356-366

10.1016/j.jmaa.2015.06.066

Construct Program of the Key Discipline in Hunan Province [[2011]76]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2015JJ6011]; NSFs of ChinaNational Natural Science Foundation of China (NSFC) [11371363, 11231009, 11261002]

本校为第一且通讯机构

Let Sigma(R) be the group of symmetries of the Julia set of a rational map R and K-f,K-n be the Konig's method for polynomial f of order n (>= 2). For any given integer n >= 2, we prove that if f is in normal form, then Sigma(f) is a subgroup of Sigma(K-f,K-n). We also obtain a necessary and sufficient condition for the Julia set of K-f,K-n to be a line. (C)...