Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An application of Cohn's rule to convolutions of univalent harmonic
  mappings   Dorff et al. [4], proved that the harmonic convolution of right half-plane
mapping with dilatation -z and mapping f_\beta = h_\beta + \bar{g}_\beta, where
f_\beta is obtained by shearing of analytic vertical strip mapping, with
dilatation e^{i\theta}z^n; n = 1,2,\theta \in R, is in S_H^0 and is convex in
the direction of the real axis. In this paper, by using Cohn's rule, we
generalize this result by considering dilatations (a-z)/(1-az), a\in (-1,1) and
e^{i\theta} z^n (n\in N;\theta\in R) of right half-plane mapping and f_\beta,
respectively.

4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys