@article{Yu_Kulkarni_2011, title={On the order and the lower order of differential polynomials}, volume={42}, url={https://journals.math.tku.edu.tw/index.php/TKJM/article/view/647}, DOI={10.5556/j.tkjm.42.2011.647}, abstractNote={Suppose that $f$ is a meromorphc function with order $\sigma(f)$ and lower order $\mu(f)$. Suppose that $P[f]$ is a differential polynomial of $f$. In this paper, it is shown that the order and the lower order of $P[f]$ are equal to the order and the lower order of $f$ under certain conditions on the degree of the differential polynomial $P[f]$, \textit{i.e.}, $\sigma(P)=\sigma(f)$ and $\mu(P)=\mu(f)$. This result improves previous results.}, number={4}, journal={Tamkang Journal of Mathematics}, author={Yu, Kit-Wing and Kulkarni, Milind-Narayanrao}, year={2011}, month={Dec.}, pages={475–482} }