Turkish Journal of Mathematics
DOI
10.3906/mat-1810-133
Abstract
We investigate under what conditions the Fatou, Julia, and escaping sets of a transcendental semigroup are respectively equal to the Fatou, Julia, and escaping sets of their subsemigroups. We define the partial fundamental set and fundamental set of a holomorphic semigroup, and on the basis of these sets, we prove that the Fatou and escaping sets of a transcendental semigroup $ S $ are nonempty.
First Page
930
Last Page
940
Recommended Citation
SUBEDI, BISHNU HARI and SINGH, AJAYA
(2019)
"Fatou, Julia, and escaping sets in holomorphic (sub)semigroup dynamics,"
Turkish Journal of Mathematics: Vol. 43:
No.
2, Article 25.
https://doi.org/10.3906/mat-1810-133
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss2/25
