
Laurent series
A Laurent series is a way to represent complex functions as an infinite sum of terms, which can include both positive and negative powers of the variables. It's similar to a power series, but the negative powers allow for handling functions with singularities, where they become undefined. This makes Laurent series particularly useful in complex analysis for understanding behaviors near points where functions might blow up or behave erratically. Overall, they provide a powerful tool for mathematicians and scientists to analyze and solve problems involving complex variables.