Complex analysis is the field of mathematics dealing with the study of complex numbers and functions of a complex variable. Wolfram|Alpha's authoritative computational ability allows you to perform complex arithmetic, analyze and compute properties of complex functions and apply the methods of complex analysis to solve related mathematical queries.
Analyze properties of functions of a complex variable or perform basic arithmetic on, find roots of or apply functions to complex numbers.
Locate poles of a complex function within a specified domain or within the entire complex plane.
Plot functions of a complex variable or compute and analyze their properties.
Compute the residues of functions in the complex plane at a point or within a specified region.
Compute and visualize Riemann surfaces for complex functions.