Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix valued Laguerre polynomials   Matrix valued Laguerre polynomials are introduced via a matrix weight
function involving several degrees of freedom using the matrix nature. Under
suitable conditions on the parameters the matrix weight function satisfies
matrix Pearson equations, which allow to introduce shift operators for these
polynomials. The shift operators lead to explicit expressions for the
structures of these matrix valued Laguerre polynomials, such as a Rodrigues
formula, the coefficients in the three-term recurrence, differential operators,
and expansion formulas.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
22
The categories of this paper are: chao-dyn