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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2004 • Question 7

Question

Math 6210 • Real Analysis 2004 • Question 7

Let \[ f(z)=e^{\frac {z}{z-1}}. \] Determine all isolated singularities of \(f\) and their type. Find the residues of \(f\) at these isolated singularities.

Raw LaTeX

Let
\[
f(z)=e^{\frac{z}{z-1}}.
\]
Determine all isolated singularities of \(f\) and their type. Find the residues of
\(f\) at these isolated singularities.

Topic Tags

Isolated Singularities and Residues