ABSTRACT
It is often important to consider a function that is holomorphic on a punctured open set U \ {P} ⊂ C. Refer to Figure 5.1.
In this chapter we shall obtain a new kind of infinite series expansion which generalizes the idea of the power series expansion of a holomorphic function about a (nonsingular) point-see Section 4.1.6. We shall in the process completely classify the behavior of holomorphic functions near an isolated singular point (Section 5.1.3).
