2012.86: Some results and problems on complex germs with definable Mittag-Leffler stars
2012.86: A J Wilkie (2012) Some results and problems on complex germs with definable Mittag-Leffler stars.
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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 2000 > 03 Mathematical logic and foundations MSC 2000 > 30 Functions of a complex variable |
| MIMS number: | 2012.86 |
| Deposited By: | Prof Alex J Wilkie |
| Deposited On: | 12 October 2012 |
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