Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Meixner functions and polynomials related to Lie algebra representations   The decomposition of the tensor product of a positive and a negative discrete
series representation of the Lie algebra su(1,1) is a direct integral over the
principal unitary series representations. In the decomposition discrete terms
can occur, and the discrete terms are a finite number of discrete series
representations or one complementary series representation. The interpretation
of Meixner functions and polynomials as overlap coefficients in the four
classes of representations and the Clebsch-Gordan decomposition, lead to a
general bilinear generating function for the Meixner polynomials. Finally,
realizing the positive and negative discrete series representations as
operators on the spaces of holomorphic and anti-holomorphic functions
respectively, a non-symmetric type Poisson kernel is found for the Meixner
functions.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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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: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph