turkmath.org

The field of holomorphic dynamics can be described as the study of long term behavior of holomorphic maps under iteration. The main purpose of this talk is to introduce the field. Second, we introduce a specific one parameter family of transcendental entire maps. As another piece of our results, we give a new concept termed holomorphic explosion, which we derived from holomorphic motion. The last section is devoted to an application of holomorphic explosion to the transcendental entire family in consideration.