Complex Analysis

Definition

Complex analysis is a branch of mathematics that focuses on studying functions involving complex numbers. It explores concepts like holomorphic functions, contour integrals, and residues.

Related terms

Holomorphic Functions: Holomorphic functions are complex-valued functions that are differentiable at every point within their domain.

Contour Integrals: Contour integrals involve integrating along specific paths in the complex plane rather than just along real number lines.

Residues: In complex analysis, residues are calculated to evaluate certain types of integrals around singular points within closed curves.