meromorphic

adjective
mer·​o·​mor·​phic | \ˌmer-ə-ˈmȯr-fik \

Definition of meromorphic 

: relating to or being a function of a complex variable that is analytic everywhere in a region except for singularities at each of which infinity is the limit and each of which is contained in a neighborhood where the function is analytic except for the singular point itself

First Known Use of meromorphic

circa 1890, in the meaning defined above

History and Etymology for meromorphic

mero- + -morphic

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The first known use of meromorphic was circa 1890

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