Some results and problems on complex germs with definable Mittag-Leffler stars

Wilkie, A J (2012) Some results and problems on complex germs with definable Mittag-Leffler stars. [MIMS Preprint]

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Abstract

Working in an o-minimal expansion of the real field, we investigate when a germ (around 0 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 neighbourhood of the origin in C has an analytic continuation to all but finitely many points in C.

Item Type: MIMS Preprint
Uncontrolled Keywords: Analytic continuation for complex functions
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
MSC 2010, the AMS's Mathematics Subject Classification > 30 Functions of a complex variable
Depositing User: Prof Alex J Wilkie
Date Deposited: 12 Oct 2012
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1877

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