General Eulerian Numbers and Eulerian Polynomials
Combinatorics
2012-07-03 v1
Abstract
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in extending several well-known properties of traditional Eulerian numbers and polynomials to the general Eulerian polynomials and numbers.
Keywords
Cite
@article{arxiv.1207.0430,
title = {General Eulerian Numbers and Eulerian Polynomials},
author = {Tingyao Xiong and Hung-ping Tsao and Jonathan I. Hall},
journal= {arXiv preprint arXiv:1207.0430},
year = {2012}
}
Comments
14 pages