On a property of the Nevanlinna characteristic

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 - \...