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 I'm worried about the notation maybe a little bit outdated.