An example of entire function of strongly regular growth |
|
| Author |
Lviv National University, Faculty of Mechanics and Mathematics
|
| Abstract |
We construct an entire function of zero order of strongly regular growth such that its zeros do not have any angular density with respect to the function $v(r)=r^{\lambda (r)},$ where $\lambda (r)$ is a~proximate order of the counting function $n(r)$.
|
| Keywords |
entire functions of zero order, strongly regular growth, zeros of entire functions, angular density of zeros, growth of entire functions, complex analysis
|
| DOI |
doi:10.30970/ms.13.2.145-148
|
Reference |
1. Левин Б. Я. Распределение корней целых функций, М.: Гостехиздат, 1956.
2. Заболоцкий Н. В. Сильно регулярный рост целых функций нулевого порядка, Мат. заметки 63 (1998), № 2, 196–208. |
| Pages |
145-148
|
| Volume |
13
|
| Issue |
2
|
| Year |
2000
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |