Essential Singularity

In complex analysis, an essential singularity of a function is a "severe" singularity near which the function exhibits extreme behavior.

The category essential singularity is a "left-over" or default group of singularities that are especially unmanageable: by definition they fit into neither of the other two categories of singularity that may be dealt with in some manner – removable singularities and poles.

Read more about Essential Singularity:  Formal Description, Alternate Descriptions

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