Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a 2-orthogonal polynomial sequence via quadratic decomposition   We apply a symbolic approach of the general quadratic decomposition of
polynomial sequences - presented in a previous article referenced herein - to
polynomial sequences fulfilling specific orthogonal conditions towards two
given functionals $u_{0},u_{1}$ belonging to the dual of the vector space of
polynomials with coefficients in $\mathbb{C}$. The general quadratic
decomposition produces four new sets of polynomials whose properties are
investigated with the help of the mentioned symbolic approach together with
further commands which inquire relevant features, as for instance, the
classical character of a polynomial sequence. The computational results are
detailed for a wide range of choices of parameters and co-recursive type
polynomial sequences are also explored.

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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org