On One Property of the Nevanlinna Characteristic

We prove the existence of entire functions f of an arbitrary lower order ⋋ ≥ 0 and the order 𝜌 = ⋋ + 1 such thatliminfTr→+∞r+1f/Trf>1.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \underset{r\to +\infty }{\lim \kern0.5em \operatorname{inf}T}\left(r+1,f\right)/T\left(r,f\right)>1. $$\end{document}