## How do you use complex analysis in real life?

Complex analysis is used in analog electronic design.

Filters are characterized by singularities of a complex transfer function.

Impedance is modeled as a complex value in AC circuits such as audio amplifiers.

The wave function of quantum mechanics and quantum field theory is complex-valued..

## What are the topics of research in complex analysis?

Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime number theorem; elliptic functions, and modular forms..

## What is complex analysis with example?

Complex analysis is known as one of the classical branches of mathematics and analyses complex numbers concurrently with their functions, limits, derivatives, manipulation, and other mathematical properties..