Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalized Apagodu-Zeilberger Algorithm   The Apagodu-Zeilberger algorithm can be used for computing annihilating
operators for definite sums over hypergeometric terms, or for definite
integrals over hyperexponential functions. In this paper, we propose a
generalization of this algorithm which is applicable to arbitrary
$\partial$-finite functions. In analogy to the hypergeometric case, we
introduce the notion of proper $\partial$-finite functions. We show that the
algorithm always succeeds for these functions, and we give a tight a priori
bound for the order of the output operator.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess