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arxiv: 1103.5848 · v1 · submitted 2011-03-30 · 🧮 math.CO · math-ph· math.MP

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Laguerre and Meixner orthogonal bases in the algebra of symmetric functions

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keywords algebrafunctionslaguerremeixnerorthogonalsymmetricanalogsannounced
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Analogs of Laguerre and Meixner orthogonal polynomials in the algebra of symmetric functions are studied. This is a detailed exposition of part of the results announced in arXiv:1009.2037. The work is motivated by a connection with a model of infinite-dimensional Markov dynamics.

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