This is a cross-post from [MSE](https://math.stackexchange.com/questions/738094/good-book-on-analytic-continuation).


For my Bachelor's thesis, I am investigating divergent series summation methods. One of those is analytic continuation. There are quite a few books on complex analysis that include a chapter or two on analytic continuation, but I would like to study this phenomenon in more detail. Could you please suggest a book on analytic continuation? Or a book on complex analysis with a heavy focus on analytic continuation?



Good book on analytic continuation?
English books are Hardy, Divergent series,
and P. Dienes, Taylor series:
an introduction to the theory of functions of a complex variable. Dover Publications, Inc., New York, 1957. (The title is somewhat misleading. This is a large book that indeed
contains an "introduction to complex variables" but it is also the most comprehensive book
in English on analytic continuation).
But the best book on my opinion is L. Bieberbach, Analytische Fortsetzung, Springer Berlin,
1955, which is available in German and Russian only. (Russian translation by Evgrafov
is better because many mistakes are corrected, and some proofs simplified).


