Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral transform for Logharmonic mappings   Bieberbach's conjecture was very important in the development of Geometric
Function Theory, not only because of the result itself, but also due to the
large amount of methods that have been developed in search of its proof, it is
in this context that the integral transformations of the type
$f_\alpha(z)=\int_0^z(f(\zeta)/\zeta)^\alpha d\zeta$ or
$F_\alpha(z)=\int_0^z(f'(\zeta))^\alpha d\zeta$ appear. In this notes we extend
the classical problem of finding the values of $\alpha\in\mathbb{C}$ for which
either $f_\alpha$ or $F_\alpha$ are univalent, whenever $f$ belongs to some
subclasses of univalent mappings in $\mathbb D$, to the case of logharmonic
mappings, by considering the extension of the \textit{shear construction}
introduced by Clunie and Sheil-Small in \cite{CSS} to this new scenario.

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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org