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1. CJM 1999 (vol 51 pp. 117)
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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 |