Meromorphic Function

meromorphic function

[¦mer·ə¦mȯr·fik ′fəŋk·shən]

(mathematics)

A function of complex variables which is analytic in its domain of definition save at a finite number of points which are poles.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Meromorphic Function

 

a function that can be represented in the form of a quotient of two entire functions, that is, the quotient of the sums of two everywhere convergent power series. Meromorphic functions include many important functions and classes of functions (rational functions, trigonometric functions, elliptic functions, the gamma function, the zeta function).

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.