 Solution

ID: past-exam-of-the-algebra-analysis-and-differential-equations-1-course-of-the-university-of-oxford/2004/analysis/5/a/solution

a

means that there is a holomorphic function on the whole disc which agrees with

f

away from

a

. Equivalently, the Laurent series has no negative powers. The value at

a

is filled in by its finite limit.

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