Article

Uniqueness theorems for meromorphic functions on annuli

Rathod A.

10.13108/2020-12-1-114

$\mathbb{C}$

$f_{1}(z)$

$f_{2}(z)$

$\mathbb{A}=\left\{z:\frac{1}{R_{0}}<| z | < R_{0}\right\}$

$1 < R_{0}\leq +\infty.$

$a_{j}$

$j=1,2,\ldots,q)$

$q$

$\overline{\mathbb{C}}$

$k_{j}$

$j=1,2,\ldots,q$

$\infty$

$\begin{equation*} k_{1}\geq k_{2}\geq \ldots \geq k_{q}. \end{equation*}$

$\begin{equation*} \overline{E}_{k_{j})}(a_{j},f_{1})=\overline{E}_{k_{j})}(a_{j},f_{2}),\qquad j=1,2,\ldots,q, \end{equation*}$

$\begin{equation*} \sum_{j=2}^{q}\frac{k_{j}}{k_{j}+1}-\frac{k_{1}}{k_{1}+1}>2, \end{equation*}$

$f_{1}(z)\equiv f_{2}(z).$