Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
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.