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Infinite Taylor interpolation
Authors:Leonhard Frerick    rgen Mü  ller
Institution:Bergische Universität Gesamthochschule Wuppertal, Fachbereich 7, Mathematik, 42097 Wuppertal, Germany ; Universität Trier, Fachbereich IV, Mathematik, 54286 Trier, Germany
Abstract:Let $G$ be a region in $\mathbb C$, let $\alpha $ be a point in $G$, and let $\Lambda $ be an infinite set of nonnegative integers. We consider the question whether there exists a function which is holomorphic in $G$ and has prescribed derivatives of order $\nu $ at $\alpha $ for all $\nu \in \Lambda $.

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