Global analytic function

A **global analytic function** typically refers to a function that is analytic (that is, it can be locally represented by a convergent power series) over the entire complex plane. In complex analysis, a function \( f(z) \) defined on the complex plane is said to be analytic at a point if it is differentiable in a neighborhood of that point. If a function is analytic everywhere on the complex plane, it is often referred to as an entire function.