On the radial distribution of Julia sets of entire solutions of f(n) + A(z) f=0

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Huang, Zhigang¹  Wang, Jun² 

[1] Suzhou Univ Sci & Technol, Sch Math & Phys, Suzhou 215011, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

关键词: Radial distribution;    Entire function;    Julia set;    Differential equation;   

DOI  :  10.1016/j.jmaa.2011.10.016

来源: Elsevier

【 摘 要 】

This paper is devoted to studying the dynamical properties of solutions of f((n)) + A (z) f = 0. where n(>= 2) is an integer, and A(z) is a transcendental entire function of finite order. We find the lower bound on the radial distribution of Julia sets of E (z) provided that E = f(1)f(2) ... f(n) and {f(1), f(2), ..., f(n)) is a solution base of such equations. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free