Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On polynomials associated with an Uvarov modification of a quartic
  potential Freud-like weight   In this contribution we consider sequences of monic polynomials orthogonal
with respect to the standard Freud-like inner product involving a quartic
potential
  $\left\langle
p,q\right\rangle_{M}=\int_{\mathbb{R}}p(x)q(x)e^{-x^{4}+2tx^{2}}dx+Mp(0)q(0).$
  We analyze some properties of these polynomials, such as the ladder operators
and the holonomic equation that they satisfy and, as an application, we give an
electrostatic interpretation of their zero distribution in terms of a
logarithmic potential interaction under the action of an external field. It is
also shown that the coefficients of their three term recurrence relation
satisfy a nonlinear difference string equation. Finally, an equation of motion
for their zeros in terms of their dependence on $t$ is given.

24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci