کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615295 1339312 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wandering domains for composition of entire functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Wandering domains for composition of entire functions
چکیده انگلیسی

C. Bishop in [10, Theorem 17.1] constructs an example of an entire function f   in class BB with at least two grand orbits of oscillating wandering domains. In this paper we show that his example has exactly two such orbits, that is, f has no unexpected wandering domains. We apply this result to the classical problem of relating the Julia sets of composite functions with the Julia set of its members. More precisely, we show the existence of two entire maps f and g   in class BB such that the Fatou set of f∘gf∘g has a wandering domain, while all Fatou components of f or g are preperiodic. This complements a result of A. Singh in [22, Theorem 4] and results of W. Bergweiler and A. Hinkkanen in [6] related to this problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 1, 1 September 2015, Pages 478–496
نویسندگان
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