Hello:
I have this function:
whose domain is the line:
I need to find the analytic continuation for the whole complex plane. I don't know how to start it.
Thank you!
Yes, that is what I meant (apart from the mistake at the end). The reason for doing it that way is that if you want f to be an analytic function of z then you have to express it in terms of z. Fortunately, you end up with the expression , which certainly is analytic on the whole complex plane, and therefore gives the required analytic continuation for f(z).