Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic coefficients of close-to-convex functions   For an analytic and univalent function $f$ in the unit disk
$\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$ with the normalization $f(0)=0=f'(0)-1$,
the logarithmic coefficients $\gamma_n$ are defined by $\log \frac{f(z)}{z}=
2\sum_{n=1}^{\infty} \gamma_n z^n$. In the present paper, we consider the class
of close-to-convex functions (with argument $0$), and determine the sharp upper
bound of $|\gamma_3|$ for such functions $f$, which proves a recent conjecture
of the first and third authors [1].

3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat