Some Results and Problems on Complex Germs with Definable Mittag-Leffler Stars
نویسنده
چکیده
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. It is my pleasure to dedicate this paper to Anand Pillay on the occasion of his 60th birthday.
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ورودعنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 54 شماره
صفحات -
تاریخ انتشار 2013