Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilinear generating functions for orthogonal polynomials   Using realisations of the positive discrete series representations of the Lie
algebra su(1,1) in terms of Meixner-Pollaczek polynomials, the action of
su(1,1) on Poisson kernels of these polynomials is considered. In the tensor
product of two such representations, two sets of eigenfunctions of a certain
operator can be considered and they are shown to be related through continuous
Hahn polynomials. As a result, a bilinear generating function for continuous
Hahn polynomials is obtained involving the Poisson kernel of Meixner-Pollaczek
polynomials. For the positive discrete series representations of the quantised
universal enveloping algebra Uq(su(1,1)) a similar analysis is performed and
leads to a bilinear generating function for Askey-Wilson polynomials involving
the Poisson kernel of Al-Salam and Chihara polynomials.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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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: stat
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an