Séminaire Lotharingien de Combinatoire, B28i (1992).
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 498/S-28, p. 53-55.]

Serge Dulucq

Un q-analogue des polynômes de Bessel

Abstract. The combinatorial model for the Bessel polynomials, introduced by Dulucq and Favreau [IMACS Ann. Comput. Appl. Math. 9 (1991), 243-249], allows us to define the q-Bessel polynomials. This model, based upon weighted involutions, leads to a combinatorial interpretation of the three-term recurrence relation and to an explicit formula for the n-th q-Bessel polynomial.


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