Essential Singularity

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
An isolated singularity of a complex function at which the function's Laurent series about that point contains infinitely many negative-power terms, producing highly oscillatory and dense value behavior arbitrarily close to the point.

Essential Singularity

- Mathematics & Logic -
Pure Mathematics Dictionary
An isolated singularity a of a complex function f at which the Laurent expansion has infinitely many negative-power terms; the local behavior is highly nonpolynomial and typically chaotic under analytic continuation.