analytic continuation by power series
Given a holomorphic function![]()
defined on some open set, one techniquefor analytically continuing it to a larger set is by means of powerseries
![]()
. One picks a point of the region and constructs the Taylorseries
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of the function about that point. If it turns out that theradius of convergence
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of the Taylor series is large enough that itcontains points which are not in the original domain, one canextend the function to a larger domain obtrained by adding these points.