meromorphic

[mer-uh-mawr-fik]

adjective Mathematics.

of or relating to a function that is analytic, except for poles, in a given domain.

Origin of meromorphic

probably earlier than 1885–90; mero- + -morphic

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

A function which has no singular points for finite values of z other than poles is called a meromorphic function.
Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3
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