A Laurent series is a representation of a complex function as a power series that includes both positive and negative powers of the variable, typically centered around a singularity. This type of series allows for the expansion of functions that are not analytic everywhere, making it especially useful for analyzing functions with poles and other singular points. By incorporating negative powers, Laurent series can describe the behavior of functions in annular regions, which is crucial in the study of complex mappings and singularities.
congrats on reading the definition of Laurent series. now let's actually learn it.