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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