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.


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.)
Full Text: DOI arXiv Link