Perhaps you mean that you want to integrate around the circle z= |r|
And saying that " " simply says that
is 0 only when which happens only when is a multiple of : for some integer m so the singularities are at and . If you are integrating around the path |z|= r, with , then there are two poles for every positive integeri need to find the points which turn to zero in the denominator
and non zero in the numerator.
i got two such points
by using this formula
the third point is z=0 but for it we have both numerator and denominator 0
i calculated the residium for it by formula
my prof says some stuff that involves the area
he says that my points are 0 +1 -1 +2^(0.5) -2^(0.5) etc.. because the denominator goes to zero
for each point have a residiu and i need to sum the residiums inside.
but here the area is not defined
its not like (by radius 3)
i dont know what point are inside the area