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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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 $\nu \in \Lambda$.
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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