Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136163Using an explicit computable expression of ordinary multinomials, we establish three remarkable connections, with the q-generalized Fibonacci sequence, the exponential partial Bell partition polynomials and the density of convolution powers of the discrete uniform distribution. Identities and various combinatorial relations are derived.9 pagesCombinatoricsProbability05A10, 60C05 (Primary); 11B39, 11B65 (Secondary)Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distributiontext