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UMD Analysis Qualifying Exam/Jan07 Complex
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Problem 2
Compute the partial fractions decomposition of .
Solution 2
Problem 4
Consider the series
(a) Find the domain where the series is convergent
(b) Prove that for any , for some polynomial .
(c) Prove that if has analytic extension from then it has analytic extension to .
(d) Prove that has no analytic extension from .
Solution 4
Problem 6
Solution 6