Infinite Taylor interpolation
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- by Leonhard Frerick and Jürgen Müller PDF
- Proc. Amer. Math. Soc. 125 (1997), 3331-3337 Request permission
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 $\nu \in \Lambda$.References
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Additional Information
- Leonhard Frerick
- Affiliation: Bergische Universität Gesamthochschule Wuppertal, Fachbereich 7, Mathematik, 42097 Wuppertal, Germany
- Email: leonhard.frerick@math.uni-wuppertal.de
- Jürgen Müller
- Affiliation: Universität Trier, Fachbereich IV, Mathematik, 54286 Trier, Germany
- ORCID: 0000-0002-5872-0129
- Email: jmueller@uni-trier.de
- Received by editor(s): March 1, 1996
- Received by editor(s) in revised form: June 14, 1996
- Communicated by: Theodore W. Gamelin
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3331-3337
- MSC (1991): Primary 30E05
- DOI: https://doi.org/10.1090/S0002-9939-97-03954-3
- MathSciNet review: 1403126