Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anti-isospectral Transformations, Orthogonal Polynomials and
  Quasi-Exactly Solvable Problems   We consider the double sinh-Gordon potential which is a quasi-exactly
solvable problem and show that in this case one has two sets of Bender-Dunne
orthogonal polynomials . We study in some detail the various properties of
these polynomials and the corresponding quotient polynomials. In particular, we
show that the weight functions for these polynomials are not always positive.
We also study the orthogonal polynomials of the double sine-Gordon potential
which is related to the double sinh-Gordon case by an anti-isospectral
transformation. Finally we discover a new quasi-exactly solvable problem by
making use of the anti-isospectral transformation.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg