I'm doing revision for an exam in complex analysis at the mo. I've been going through examples and I've found a couple that I've never seen before and have no idea how to do-any help would be much appreciated!
Find all values of the following:
and log (i+1)
(Can't figure it out in Latex, I'm only learning!)
b) Let D= C\(-oo,0], and suppose log 1=0
Find (1-i)^4i and [e(-1-ROOT(3)i)/2]^(3PIi)
(Again if someone could show me this in latex it'd be appreciated, I kept getting 1-i^4 when I tried)
c)Given D= C\(-oo,0] and =exp(PI/2), its principle value, show that
Please help, I'm so confused. I'm thinking it has to do with the section we did on simply connected domains and isolated singularities of an analytic domain
but I can't find any examples to follow and I'm lost!
PS I'm trying with the latex but its slow so sorry about that!