Abstract
The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence {λn} ⊂ ℂ, there exists a function ϕ, meromorphic on ℂ, with the following property. For every compact set K of rational approximation (i.e. Vitushkin set), and every function f, continuous on K and holomorphic in the interior of K, there exists a subsequence {nk} of ℕ such that \( \left\{ {\varphi \left( {z + \lambda _{n_k } } \right)} \right\} \) converges to f(z) uniformly on K.
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