What are Analytic Functions in Maths?

Analytic functions also known as holomorphic functions or complex differentiable functions are functions of the complex variables that are differentiable at every point within their domain.

In other words, an analytic function is a complex-valued function that has a complex derivative at each point in the open domain of the complex plane.

A fundamental concept in complex analysis and analytical functions has extensive use in a variety of disciplines including mathematics, physics and more. These functions have derivatives of all orders within their domain and can be represented as power series. The analytical functions are useful in resolving practical problems and are essential for comprehending how functions behave in complicated contexts.