meromorphic

[ mer-uh-mawr-fik ]

adjective

, Mathematics.

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

Word History and Origins

Origin of meromorphic¹

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

Thus, for example, the hyperelliptic surface discussed by Humbert, 329 of which the co-ordinates are meromorphic functions of two variables of the simplest kind, with four sets of periods, is characterized by pg = 1, pa = −1; or again, any surface possessing a linear system of curves of which the order exceeds twice the deficiency of the individual curves diminished by two, is reducible by birational transformation to a ruled surface or is a rational surface.

From Project Gutenberg

A function which has no singular points for finite values of z other than poles is called a meromorphic function.

From Project Gutenberg

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