Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Growth estimates for meromorphic solutions of higher order algebraic
  differential equations   We establish pointwise growth estimates for the spherical derivative of
solutions of the first order algebraic differential equations. A generalization
of this result to higher order equations is also given. We discuss the related
question of when for a given class $X$ of meromorphic functions in the unit
disc, defined by means of the spherical derivative, and $m \in \mathbb{N}
\setminus \{1\}$, $f^m\in X$ implies $f\in X$. An affirmative answer to this is
given for example in the case of $\mathord{\rm UBC}$, the $\alpha$-normal
functions with $\alpha\ge1$ and certain (sufficiently large) Dirichlet type
classes.

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The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int