Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalised Airy Polynomials   We consider properties of semi-classical orthogonal polynomials with respect
to the generalised Airy weight
\[\omega(x;t,\lambda)=x^{\lambda}\exp\left(-\tfrac13x^3+tx\right),\qquad x\in
\mathbb{R}^+,\] with parameters $\lambda>-1$ and $t\in \mathbb{R}$. We also
investigate the zeros and recurrence coefficients of the polynomials. The
generalised sextic Freud weight
\[\omega(x;t,\lambda)=|x|^{2\lambda+1}\exp\left(-x^6+tx^2\right), \qquad x\in
\mathbb{R},\] arises from a symmetrisation of the generalised Airy weight and
we study analogous properties of the polynomials orthogonal with respect to
this weight.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg