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Meromorphic functions with prescribed asymptotic behaviour, zeros and poles and applications in complex approximation
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1999