Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The growth of entire functions of genus zero   In this paper we shall consider the assymptotic growth of $|P_n(z)|^{1/k_n}$
where $P_n(z)$ is a sequence of entire functions of genus zero. Our results
extend a result of J. Muller and A. Yavrian. We shall prove that if the
sequence of entire functions has a geometric growth at each point in a set $E$
being non-thin at $\infty$ then it has a geometric growth in $\CC$ also.
Moreover, if $E$ has some more properties, a similar result also holds for a
more general kind of growth. Even in the case where $P_n$ are polynomials, our
results are new in the sense that it does not require $k_n\succeq deg(P_n)$ as
usually required.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org