👉 In mathematics, a holomorphic function is a complex-valued function that can be thought of as a continuous function on an open neighborhood of its domain. This means that for every point in the domain, there exists a neighborhood around it such that the function value at that point is the same as that at another point within the domain. In other words, holomorphic functions are exactly those that preserve properties of continuity and differentiability. They are also continuous on all of their domains, meaning they can be
