Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2015-12-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1399 |