I am currently using Gamelin's textbook for studying Complex Analysis. (I just finished first seven chapter, I'm still a beginner on this subject.)
This is definitely a nice book, it covers everything I need, its every comprehensive.
However, Gamelin's writing style is really killing me.
For example, how he uses the language of differential form to prove Cauchy's theorem, how he talks about homotopy without using the word homotopy.
There are also a lot of minor problems in the text. such as he defines analyticity for a function on a set, but later he uses analyticity for a function on a point.
So I want to find a textbook that is about the level of Gamelin, could be deeper, on Complex Analysis, that is more rigorous or formal than Gamelin's book. (I really enjoy the style of Rudin, Munkres, and Hungerford) (Also I have enough background from analysis and topology to discuss things like forms and homotopy.)
I heard that Ahlfors is a great book, but it is also really old. I'm worried about the notation maybe a little bit outdated.
Serge Lang wrote more books than just about any one I know of. He was pretty good at it. His Algebra is very highly regarded, for one example.
Professor Hung-Hsi Wu chose Lang's Complex Analysis as the text when I took $185$ up at Berkeley. I believe it was a very good choice, and enjoyed it alot. I dare say it's a beautiful treatment of a beautiful subject (but then so was Wu's teaching). Maybe have a look.
Btw I sat in on Gamelin's Complex Analysis course as a grad student at UCLA, and, while I may be mistaken, it seems to me that he used Ahlfors' as the text, rather than his own book, for what it's worth.