Normal ordering problem and the extensions of the Stirling grammar
Combinatorics
2015-06-16 v1
Abstract
The purpose of this paper is to investigate the connection between context-free grammars and normal ordering problem, and then to explore various extensions of the Stirling grammar. We present grammatical characterizations of several well known combinatorial sequences, including the generalized Stirling numbers of the second kind related to the normal ordering problem and the -Dowling polynomials. Also, possible avenues for future research are described.
Cite
@article{arxiv.1308.0169,
title = {Normal ordering problem and the extensions of the Stirling grammar},
author = {Shi-Mei Ma and Toufik Mansour and Matthias Schork},
journal= {arXiv preprint arXiv:1308.0169},
year = {2015}
}
Comments
15 pages