Page 105 - Calculus with Complex Numbers
P. 105
and therefore by the estirnate lernrna
X X
1-) anzn dz :é n'r 1-) Ian Irn
r
p' o o
which --> 0 as r --> 0. The result follows.
N.B. W e can allow multiple poles provided there are only odd negative powers
in the Latlrent expansion since these make no contribution to the integral round
the s rnall se rnicircle.
