Moments des Polynômes Orthogonaux Unitaires de Sheffer Généralisés et Spécialisations

Recently, Zeng has given a combinatorial interpretation of the moments ofq-Laguerre andq-Charlier polynomials. On the other hand, generalizations of Laguerre polynomials have been studied by A. de M\ʹedicis and Viennot, Simion and Stanton. In the present paper, by using the same methods, we propose to answer the question of finding a combinatorial interpretation of the moments of a sequence of some orthogonal polynomials, which was originally raised by Zeng in his unpublished note in 1992.