Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The indeterminate moment problem for the $q$-Meixner polynomials   For a class of orthogonal polynomials related to the $q$-Meixner polynomials
corresponding to an indeterminate moment problem we give a one-parameter family
of orthogonality measures. For these measures we complement the orthogonal
polynomials to an orthogonal basis for the corresponding weighted $L^2$-space
explicitly. The result is proved in two ways; by a spectral decomposition of a
suitable operator and by direct series manipulation. We discuss extensions to
explicit non-positive measures and the relation to other indeterminate moment
problems for the continuous $q^{-1}$-Hahn and $q$-Laguerre polynomials.

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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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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: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol