Christophe Vignat

Affiliation: Tulane University

Email: cvignat@tulane.edu

Title Of Talk: Narayana polynomials and random walks in space

Abstract: The Narayana numbers and polynomials, and their connection with moments of Pearson random walks in space will be described. A generalization of the Narayana polynomials will be given and related to the classical Gegenbauer polynomials: the probabilistic interpretation of a sequence related to the Narayana numbers will be used to prove some results first introduced by M. Lassalle. This is joint work with T. Amdeberhan, V.H. Moll, J. Borwein and A. Straub.


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