Funciones analíticas

Funciones analíticas, or analytical functions, are mathematical tools used to analyze how a function behaves around a specific point. They allow us to approximate complex functions locally using familiar simpler functions like polynomials or power series. Essentially, they provide a way to understand and predict a function's behavior near a given point by examining its derivatives and series expansions. This concept is fundamental in calculus and complex analysis, helping to solve equations, optimize functions, and explore properties of functions in various scientific and engineering contexts.