Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of discrete classical orthogonal polynomials beyond the
  orthogonality   It is well known that the family of Hahn polynomials
$\{h_n^{\alpha,\beta}(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain
weight function up to $N$. In this paper we present a factorization for Hahn
polynomials for a degree higher than $N$ and we prove that these polynomials
can be characterized by a $\Delta$-Sobolev orthogonality.
  We also present an analogous result for dual-Hahn, Krawtchouk, and Racah
polynomials and give the limit relations between them for all $n\in \XX N_0$.
Furthermore, in order to get this results for the Krawtchouk polynomials we
will get a more general property of orthogonality for Meixner polynomials.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
19
The categories of this paper are: eess