👉 In complex analysis, a function \(f(z)\) is said to be holomorphic if it satisfies the Cauchy-Riemann equations for all complex numbers \(z\). These are two conditions that determine whether a function is differentiable or not. If these conditions hold for every point in the domain of \(f(z)\), then \(f\) is said to be holomorphic at that point. The term "holomorphic" comes from the fact that, when we differentiate a holomorphic