13. Complex Analysis: Poles, Essential Singularities, and Removable Singularities

This video explains the difference between various types of singularities. A singularity is a point where the function is not analytic. A way these singularities are categorized is by considering how the function approaches infinity as we approach the singularity. If the function approaches infinity in a controlled or predictable way then it is called a "Pole". If it approaches infinity in a chaotic or unpredictable way, it is an "Essential Singularity". Lastly, if the function actually converges to a defined value at the singularity, then it is a "Removable Singularity".