Complex analysis midterm pdf

One way of putting it that has occurred to me is that complex analysis has a very high ratio of theorems to definitions (i

, a very low “entropy”): you get a lot more as “output” than you put in as “input

(b) One of the basic complex analysis theorems we will discuss is that analytic functions have a power series expansion

The Bernoulli numbers are the numbers (Bn)1 n=0 defined by the power series ex- pansion Bn zn = f(z): n! For example, the first three Bernoulli numbers are B0 = 1, B1 = 1=2, B2 = 1=6