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1. CJM 1999 (vol 51 pp. 117)

Sauer, A.
Meromorphic functions with prescribed asymptotic behaviour, zeros and poles and applications in complex approximation
We construct meromorphic functions with asymptotic power series expansion in $z^{-1}$ at $\infty$ on an Arakelyan set $A$ having prescribed zeros and poles outside $A$. We use our results to prove approximation theorems where the approximating function fulfills interpolation restrictions outside the set of approximation.

Keywords:asymptotic expansions, approximation theory
Categories:30D30, 30E10, 30E15

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