# UMD Analysis Qualifying Exam/Jan07 Complex

## Problem 2 edit

Compute the partial fractions decomposition of . |

### Solution 2 edit

## Problem 4 edit

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 . |