Complex analysis MOC

Laurent series

The Laurent series of a complex function generalises the Taylor series to cover a many non-analytic functions by taking including negative powers. comp

𝑓(𝑧)=∑𝑛∈ℤ𝐴𝑛(𝑧−𝑧0)𝑛

In the cases where 𝑓(𝑧) is holomorphic, this is identical to the Taylor series since 𝐴𝑛 =0 for all negative 𝑛.

---

develop | en | SemBr