Escaping points of entire functions of small growth
نویسندگان
چکیده
منابع مشابه
Escaping Points of Entire Functions of Small Growth
Abstract. Let f be a transcendental entire function and let I(f) denote the set of points that escape to infinity under iteration. We give conditions which ensure that, for certain functions, I(f) is connected. In particular, we show that I(f) is connected if f has order zero and sufficiently small growth or has order less than 1/2 and regular growth. This shows that, for these functions, Ereme...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2008
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-008-0339-0