Motzkin Numbers: an Operational Point of View
Combinatorics
2017-03-22 v1
Abstract
The Motzkin numbers can be derived as coefficients of hybrid polynomials. Such an identification allows the derivation of new identities for this family of numbers and offers a tool to investigate previously unnoticed links with the theory of special functions and with the relevant treatment in terms of operational means. The use of umbral methods opens new directions for further developments and generalizations, which leads, e.g., to the identification of new Motzkin associated forms.
Cite
@article{arxiv.1703.07262,
title = {Motzkin Numbers: an Operational Point of View},
author = {Marcello Artioli and Giuseppe Dattoli and Silvia Licciardi and Simonetta Pagnutti},
journal= {arXiv preprint arXiv:1703.07262},
year = {2017}
}
Comments
9 pages, 2 tables