On certain combinatorial expansions of the Legendre-Stirling numbers
Combinatorics
2018-05-29 v1
Abstract
The Legendre-Stirling numbers of the second kind were introduced by Everitt et al. in the spectral theory of powers of the Legendre differential expressions. In this paper, we provide a combinatorial code for Legendre-Stirling set partitions. As an application, we obtain combinatorial expansions of the Legendre-Stirling numbers of both kinds. Moreover, we present grammatical descriptions of the Jacobi-Stirling numbers of both kinds.
Keywords
Cite
@article{arxiv.1805.10998,
title = {On certain combinatorial expansions of the Legendre-Stirling numbers},
author = {Shi-Mei Ma and Jun Ma and Yeong-Nan Yeh},
journal= {arXiv preprint arXiv:1805.10998},
year = {2018}
}
Comments
11 pages