Geodesic
Meromorphic functions with prescribed asymptotic behaviour, zeros and poles and applications in complex approximation
Canadian journal of mathematics, Tome 51 (1999) no. 1, pp. 117-129

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1999-007-2
Mots-clés : 30D30, 30E10, 30E15, asymptotic expansions, approximation theory 
Sauer, A. Meromorphic functions with prescribed asymptotic behaviour, zeros and poles and applications in complex approximation. Canadian journal of mathematics, Tome 51 (1999) no. 1, pp. 117-129. doi: 10.4153/CJM-1999-007-2
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