Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non linear difference equations arising from a deformation of the
  q-Laguerre weight   We study, in this paper, a one parameter deformation of the $q-$Laguerre
weight function. An investigation is made on the polynomials orthogonal with
respect to such a weight. With the aid of the two compatibility conditions
previously obtained in \cite{Chen-Ism} and the $q-$analog of a sum rule
obtained in this paper, we derive expressions for the recurrence coefficients
in terms of certain auxiliary quantities, and show that these quantities
satisfy a pair of first order non linear difference equations. These difference
equations are similar in form to the recognized asymmetric discrete Painleve
systems such as $\alpha q-$P-IV and $\alpha q-$P-V.

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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph