Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions

• 作 者: QIU Ling WU Shengjian
• 机 构: LMAM
• 出 处: 中国科学A辑（英文版）
• 发表日期: 2006年2期
• 关键词: weakly repelling fixed point wandering domain
• 基金项目: 国家自然科学基金

We consider the dynamics of a transcendental meromorphic function f(z) with only finitely many poles and prove that if f has only finitely many weakly repelling fixed points,then there is no multiply-connected wandering domain in its Fatou set.