کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4673010 1346605 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the growth of zero-free MacLane-universal entire functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the growth of zero-free MacLane-universal entire functions
چکیده انگلیسی

We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal in the sense of MacLane. Specifically, it is proved that, if the lower exponential growth order of a zero-free entire function ff is finite, then ff cannot be hypercyclic for the derivative operator; and, if a positive function φφ having infinite exponential growth is fixed, then there exist zero-free hypercyclic functions which are controlled by φφ along a sequence of radii tending to infinity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 23, Issue 3, September 2012, Pages 311–317
نویسندگان
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