Yes. See example 30.2 here: http://math.furman.edu/~dcs/courses/...lecture-30.pdf
Im using cauchy's integral formula, see above to solve the following integral
where is a circle of radius 4 centred at 0.
I have deduced that the function is not analytic at
I let and
so filling into cauchy's integral formula i got
Answer =
My problem lies in the fact that both both lie in . Therefore do i have to take both singularites into account when evaluating the integral using cauchy's integral formula???
Thanks,
Piglet
Yes. See example 30.2 here: http://math.furman.edu/~dcs/courses/...lecture-30.pdf