论文标题
法图和朱莉娅(Julia)
Fatou and Julia like sets II
论文作者
论文摘要
本文是作者作品的延续:Fatou和Julia像Sets,乌克兰J. Math。在这里,我们介绍了像集合和广义逃脱一样的逃脱,例如在任意域上的全态函数家族,并建立了这些集合的一些独特属性。还证明了朱莉娅(Julia)的连接性。
This paper is a continuation of authors work: Fatou and Julia like sets,Ukranian J. Math., to appear/arXiv:2006.08308[math.CV](see [4]). Here, we introduce escaping like set and generalized escaping like set for a family of holomorphic functions on an arbitrary domain, and establish some distinctive properties of these sets. The connectedness of the Julia like set is also proved.