complex-analysis
Classifying isolated singularities
taught
Removable singularities, poles of finite order, and essential singularities -- read directly off the negative-power part of the Laurent series.
Taught in
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Isolated singularities -- removable, pole, and essential
Complex Analysis
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The pole order and residue shortcut formula
Complex Analysis
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Zeros of analytic functions
Complex Analysis
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Behavior near isolated singularities
Complex Analysis
Requires
- laurent-series required
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complex-logarithm-and-branches
helpful
A branch point is a genuinely different kind of bad point -- not an isolated singularity at all, and useful to contrast against this classification.
Required by
- Computing residues required
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