REGULARITY AND GROWTH CONDITIONS FOR FAST ESCAPING POINTS OF ENTIRE FUNCTIONS

被引：1

作者：

Evdoridou, Vasiliki ^{[1
]}

机构：

[1] Open Univ, Dept Math & Stat, Walton Hall, Milton Keynes MK7 6AA, Bucks, England

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2017年 / 42卷 / 02期

关键词：

Entire function; fast escaping set; quite fast escaping set; regularity; finite order; positive lower order; MEROMORPHIC FUNCTIONS; HAUSDORFF DIMENSION; JULIA SETS; ITERATION; FATOU;

D O I：

10.5186/aasfm.2017.4258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a transcendental entire function. The fast escaping set.A(f) plays a key role in transcendental dynamics and so it is useful to be able to identify points in this set. Recently it was shown that, under certain conditions, the quite fast escaping set, Q(f), and the related set C-2(f), are equal to A(f). In this paper we generalise these sets by introducing a family of sets Q(m)(f), m is an element of N, and give several conditions under which Q(m)(f) is equal to A(f).

引用

页码：875 / 888

页数：14

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