UWEC CERCA 2025

A complex-valued function f is considered analytic on a domain D when its derivative f’ is defined for all points z in D. Many complex functions can be extended to larger domains while still being analytic. Such a function F is considered an analytic continuation of f. These functions have a variety of uses, including extending functions beyond their traditional contexts, as in the case of the geometric sum formula. This presentation will discuss relevant notions within complex analysis, formally define analytic continuation, provide some examples of analytic continuation's use, and present some theorems of interest.