|Table of Contents|

[1] Zhu Lingmei*, Yang Degui, Wang Xiaoling, On the Julia Sets of Permutable Transcendental Entire Functions [J]. Journal of Southeast University (English Edition), 2002, 18 (3): 270-273. [doi:10.3969/j.issn.1003-7985.2002.03.015]
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On the Julia Sets of Permutable Transcendental Entire Functions()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
18
Issue:
2002 3
Page:
270-273
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2002-09-30

Info

Title:
On the Julia Sets of Permutable Transcendental Entire Functions
Author(s):
Zhu Lingmei1*;  Yang Degui2;  Wang Xiaoling1;  3
1Department of Applied Mathematics, Nanjing University of Economics, Nanjing 210003, China
2College of Sciences, South China Agricultural University, Guangzhou 510642, China
3Department of Mathematics, The Hong Kon
Keywords:
singular value;  Fatou component;  permutable transcendental entire function
PACS:
O174.5
DOI:
10.3969/j.issn.1003-7985.2002.03.015
Abstract:
Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n gm) for any positive integers n and m. Then we prove that the function h(p(z))+az∈/ B, where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p≥2 and a(≠0)∈C.

References:

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Memo

Memo:
* Born in 1950, female, associate professor.
Last Update: 2002-09-20