On the growth of meromorphic functions

Анотація

We obtained the estimates for upper and lower logarithmic density of the set $A(\gamma)=\left\{r: \displaystyle\sum_{k=1}^q \mathcal{L}(r,a_k,f)<2B(\gamma, \Delta(0,f'))T(r,f)\right\}$, where $B(\gamma, \Delta)$ is Shea's constant, $\Delta(0,f')$ is Valiron's deficiency of the derivative of the function  $f$ at zero.