Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal functions of boundary Schwarz lemma   In this paper, we present an alternative and elementary proof of a sharp
version of the classical boundary Schwarz lemma by Frolova et al. with initial
proof via analytic semigroup approach and Julia-Carath\'eodory theorem for
univalent holomorphic self-mappings of the open unit disk $\mathbb D\subset
\mathbb C$. Our approach has its extra advantage to get the extremal functions
of the inequality in the boundary Schwarz lemma.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org