 ##  [Essential Singularity](/essential-singularity) 

  ##  [Essential Singularity](https://mathlogic.quantumdictionary.io/essential-singularity-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

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](https://puremath.quantumdictionary.io/essential-singularity-1) 

  
 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

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.