Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The titled Carathodory class and its applications   This survey mainly deals with the tilted Carath{\'e}odory class by angle
$\lambda$ (denoted by $\mathcal{P}_{\lambda}$) an element of which maps the
unit disc into the tilted right half-plane $\{w: \Re e^{i\lambda} w>0\}$.
Firstly we will characterize $\mathcal{P}_{\lambda}$ from different aspects. In
section 3, various estimates of functionals over $\mathcal{P}_{\lambda}$ are
deduced from the known corresponding estimates of $\mathcal{P}_{0}$ or
elementary functional analysis. Finally some subsets of analytic functions
related to $\mathcal{P}_{\lambda}$ including close-to-convex functions with
argument $\lambda$, $\lambda$-spirallike functions, $\lambda$-Robertson
functions and analytic functions whose derivative is in $\mathcal{P}_{\lambda}$
are also considered as applications

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an