Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of functions satisfying simple differential equations   In \cite{Koe92}--\cite{Koe93c} the first author published an algorithm for
the conversion of analytic functions for which derivative rules are given into
their representing power series $\sum\limits_{k=0}^{\infty}a_{k}z^{k}$ at the
origin and vice versa, implementations of which exist in {\sc Mathematica}
\cite{Wol}, (s.\ \cite{Koe93c}), {\sc Maple} \cite{Map} (s.\ \cite{GK}) and
{\sc Reduce} \cite{Red} (s.\ \cite{Neun}).
  One main part of this procedure is an algorithm to derive a homogeneous
linear differential equation with polynomial coefficients for the given
function. We call this type of ordinary differential equations {\sl simple}.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ