On a property of the Nevanlinna characteristic

UDC 517.53We prove the existience of entire functions $f$ of an arbitrary lower order $\lambda\ge 0$ and the order $\rho=\lambda+1$ such that \begin{equation*}\underset{r \to +\infty}{\overline{\lim}}T(r + 1, f)/T(r, f) > 1.\end{equation*}Obtained results show that the condition $\rho - \...

Full description

Saved in:
Bibliographic Details
Date:2021
Main Authors: Zabolotskyy, M. V., Zabolotskyy , T. M., Заболоцький, М. В., Заболоцький, Т. М.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6627
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal