meromorphic

American  

[mer-uh-mawr-fik] / ˌmɛr əˈmɔr fɪk /

adjective

Mathematics.

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

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Etymology

Origin of meromorphic

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

Example Sentences

Dr. Joshi used the vivid image of volcanoes dotting a landscape to describe meromorphic functions.

From Scientific American

It says that you can basically recreate a meromorphic function if you know the locations of the poles and the behavior, or to use Dr. Joshi’s word, strength of the function around the poles.

From Scientific American

The single valued functions which occur, as explained above, in the inversion of algebraic integrals of the first kind, for p > 1, are meromorphic.

From Project Gutenberg

In the case of p = 1, all meromorphic functions periodic with the same two periods have been shown to be rational functions of two of them connected by a single algebraic equation; in the same way all meromorphic functions of p variables, periodic with the same sets of simultaneous periods, 2p sets in all, can be shown to be expressible rationally in terms of p + 1 such periodic functions connected by a single algebraic equation.

From Project Gutenberg

Let x1, ... xp, y denote p + 1 such functions; then each of the partial derivatives dxi/∂ui will equally be a meromorphic function of the same periods, and so expressible rationally in terms of x1, ... xp, y; thus there will exist p equations of the form dxi = R1du1 + ...

From Project Gutenberg