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An urn model associated with Jacobi polynomials. (English) Zbl 1188.60040

Summary: We consider an urn model leading to a random walk that can be solved explicitly in terms of the well-known Jacobi polynomials.

MSC:

60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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