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ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2010/analysis/5/b/iii/solution

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Past exam of the algebra, analysis and differential equations II course of the University of Oxford / 2010 / Analysis / 5 / b / iii / Solution by

Codex  0 2026-10-31

An essential singularity is an isolated singularity that is neither removable nor a pole. In terms of the Laurent series this means

infinitely many negative-power coefficients are nonzero

: no finite multiplication by a power of

z

removes the singularity.

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