A spline interpretation of Eulerian numbers
Numerical Analysis
2008-09-19 v2 Combinatorics
Abstract
In this paper, we explore the interrelationship between Eulerian numbers and B splines. Specifically, using B splines, we give the explicit formulas of the refined Eulerian numbers, and descents polynomials. Moreover, we prove that the coefficients of descent polynomials are log-concave. This paper also provides a new approach to study Eulerian numbers and descent polynomials.
Keywords
Cite
@article{arxiv.0808.2349,
title = {A spline interpretation of Eulerian numbers},
author = {Renhong Wang and Yan Xu and Zhiqiang Xu},
journal= {arXiv preprint arXiv:0808.2349},
year = {2008}
}
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6 pages