Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Study of Fatou Set, Julia set and Escaping Set in Nearly Abelian
  Transcendental Semigroup   We mainly generalize the notion of abelian transcendental semigroup to nearly
abelian transcendental semigroup. We prove that Fatou set, Julia set and
escaping set of nearly abelian transcendental semigroup are completely
invariant. We investigate no wandering domain theorem in such a transcendental
semigroup. We also obtain results on a complete generalization of the
classification of periodic Fatou components.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin