%0 Journal Article %T Differential operator of meromorphic p-valent functions %A Basem Aref Frasin %J Tamkang Journal of Mathematics %D 2012 %I Tamkang University %R 10.5556/j.tkjm.43.2012.417-422 %X A certain differential operator $ I_{¦Ë}^{m}f(z) $ is introduced for functions of the form $f(z)=(1/(z^{p}))+¡Æ_{n=k}^{¡Þ}a_{n+p-1}z^{n+p-1} $ which are $p$-valent in the punctured unit disk $U^{ }={z:z¡ÊC ext{ and } 0<|z|<1},$ where $p$ and $ k $ are positive integers. The main object of this paper is to give an application of the operator $I_{¦Ë}^{m}f(z)$ to the differential inequalities. %K Analytic functions %K Meromorphic p-valent functions. %U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/888