Vol. 5, No. 1, 2010
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An urn model associated with Jacobi polynomials

F. Alberto Grünbaum
Vol. 5 (2010), No. 1, 55–63
DOI: 10.2140/camcos.2010.5.55
Abstract

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

Keywords
random walks, urn models, Jacobi polynomials, orthogonal polynomials
Mathematical Subject Classification 2000
Primary: 33C45, 60J10
Secondary: 60G99
Milestones
Received: 26 August 2009
Revised: 13 December 2009
Accepted: 13 December 2009
Published: 31 January 2010
Authors
F. Alberto Grünbaum
Department of Mathematics
University of California
Berkeley, CA 94720
United States