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

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

2007-08-16

arxiv.org/abs/0708.2195v1

Mathematics

Combinatorics

9 pages

Scientific paper

Using 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.

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