Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on spherical derivatives and normal families   We show that a family of meromorphic functions in the unit disk $\dk$ whose
spherical derivatives are uniformly bounded away from zero is normal.
Furthermore, we show that for each $f$ meromorphic in $\dk$ we have
$\inf_{z\in\dk} f^#(z)\le \frac{1}{2}$$ where $f^#$ denotes the spherical
derivative of $f$.

16
The categories of this paper are: stat
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The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph