Abstract
Consider a continuous one parameter family of circles in a complex plane that contains two circles lying in the exterior of one another. We prove that if a continuous function on the union of the circles extends holomorphically into each circle, then the function is holomorphic in the interior of the union of the circles.
Original language | English (US) |
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Pages (from-to) | 785-790 |
Number of pages | 6 |
Journal | American Journal of Mathematics |
Volume | 129 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2007 |
ASJC Scopus subject areas
- General Mathematics