Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A package on orthogonal polynomials and special functions   In many applications (hupergeometric-type) special functions like orthogonal
polynomials are needed. For example in more than 50% of the published solutions
for the (application-oriented) questions in the "Problems Section" of SIAM
Review special functions occur.
  In this article the Mathematica package SpecialFunction which can be obtained
from the URL http://www.zib.de/koepf is introduced [15]. Algorithms to convert
between power series representations and their generating functions is the main
topic of this package {[8]-[15]}, extending the previous package PowerSeries
[12]. Moreover the package automatically finds differential and recurrence
equations {[13]-[14]} for expressions and for sums (the latter using
Zeilberger's algorithm {[23], [18], [13\}.
  As an application the fast computation of polynomial approximations of
solutions of linear differential equations with polynomial coefficients is
presented. This is the asymptotically fastest known algorithm for series
computations, and it is much faster than Mathematica's builtin Series command
if applicable. Many more applications are considered.
  Finally the package includes implementations supporting the efficient
computation of classical continuous and discrete orthogonal polynomials.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th