Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiconformal extendibility of integral transforms of
  Noshiro-Warschawski functions   Since the nonlinear integral transforms $J_{\alpha}[f](z) =
\int_{0}^{z}(f'(u))^{\alpha} du$ and $I_{\alpha}[f](z) =\int_0^z
(f(u)/u)^{\alpha} du$ with a complex number $\alpha$ have been introduced, a
great number of studies were dedicated to deriving sufficient conditions for
univalence on the unit disk. On the other hand, little is known about the
conditions that $J_{\alpha}[f]$ or $I_{\alpha}[f]$ produces a holomorphic
univalent function in the unit disk which extends to a quasiconformal map on
the complex plane. In this paper we discuss quasiconformal extendibility of the
integral transforms $J_{\alpha}[f]$ and $I_{\alpha}[f]$ for holomorphic
functions which satisfy the Noshiro-Warschawski criterion. Various approaches
using pre-Schwarzian derivatives, differential subordinations and Loewner
theory are taken to this problem.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org