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Oscillating wandering domains for functions with escaping singular values
Journal of the London Mathematical Society ( IF 1.0 ) Pub Date : 2021-01-09 , DOI: 10.1112/jlms.12423
Kirill Lazebnik 1
Affiliation  

We construct a transcendental entire f : C C such that (1) f has bounded singular set, (2) f has a wandering domain, and (3) each singular value of f escapes to infinity under iteration by f .

中文翻译:

具有转义奇异值的函数的振荡游荡域

我们构建了一个超越的整体 F C C 使得 (1) F 有界奇异集,(2) F 有一个游荡域,和(3)每个奇异值 F 在迭代下逃逸到无穷大 F .
更新日期:2021-01-09
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