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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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
|Deposited By:||Prof Alex J Wilkie|
|Deposited On:||12 October 2012|