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2013 Some Results and Problems on Complex Germs with Definable Mittag–Leffler Stars
A. J. Wilkie
Notre Dame J. Formal Logic 54(3-4): 603-610 (2013). DOI: 10.1215/00294527-2143979

Abstract

Working in an o-minimal expansion of the real field, we investigate when a germ (around zero, say) of a complex analytic function has a definable analytic continuation to its Mittag–Leffler star.

As an application we show that any algebro-logarithmic function that is complex analytic in a neighborhood of the origin in C has an analytic continuation to all but finitely many points in C.

Citation

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A. J. Wilkie. "Some Results and Problems on Complex Germs with Definable Mittag–Leffler Stars." Notre Dame J. Formal Logic 54 (3-4) 603 - 610, 2013. https://doi.org/10.1215/00294527-2143979

Information

Published: 2013
First available in Project Euclid: 9 August 2013

zbMATH: 1285.03041
MathSciNet: MR3091675
Digital Object Identifier: 10.1215/00294527-2143979

Subjects:
Primary: 03C64
Secondary: 30B40

Rights: Copyright © 2013 University of Notre Dame

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Vol.54 • No. 3-4 • 2013
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