UMD Analysis Qualifying Exam/Jan07 Complex
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Problem 2[edit | edit source]
Compute the partial fractions decomposition of . |
Solution 2[edit | edit source]
Problem 4[edit | edit source]
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 . |