Difference between revisions of "Complex residue"

From Conservapedia
Jump to navigation Jump to search
m
Line 1: Line 1:
The '''complex residue''' of a complex function ''f''(''z'') is the coefficient of the <math>1 \over z</math> term in ''f''(''z'')'s [[Laurent series]] expansion.
+
The '''complex residue''' or simply '''residue''' of a meromorphic function ''f''(''z'') is the coefficient of the <math>1 \over z</math> term in ''f''(''z'')'s [[Laurent series]] expansion.
 
[[category:complex analysis]]
 
[[category:complex analysis]]

Revision as of 16:07, January 18, 2009

The complex residue or simply residue of a meromorphic function f(z) is the coefficient of the <math>1 \over z</math> term in f(z)'s Laurent series expansion.