Central factorials under the Kontorovich-Lebedev transform of polynomials

We show that slight modifications of the Kontorovich-Lebedev transform lead to an automorphism of the vector space of polynomials. This circumstance along with the Mellin transformation property of the modified Bessel functions perform the passage of monomials to central factorial polynomials. A special attention is driven to the polynomial sequences whose KL-transform is the canonical sequence, which will be fully characterized. Finally, new identities between the central factorials and the Euler polynomials are found.Comment: also available at http://cmup.fc.up.pt/cmup/ since the 2nd August 201

Derivation of a joint occupancy distribution via a bivariate inclusion and exclusion formula

Binomial moments, finite differences, multivariate occupancy, random occupancy model,

A pólya urn model with a continuum of colors

Dirichlet process, Dirichlet invariant process, Stirling numbers of the first kind,

On multiparameter distributions of order k

Multiparameter distributions of order k , type I and type II distributions of order k , genesis schemes and interrelatiobships, extended distributions of order k ,