Eulerian numbers: A spline perspective |
| |
| Authors: | Ren-Hong Wang Zhi-Qiang Xu |
| |
| Institution: | a School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China
b LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, PR China |
| |
| Abstract: | In this paper, the spline interpretations of Eulerian numbers and refined Eulerian numbers are presented. Many classical results about Eulerian numbers can follow from the properties of B-splines directly, and some new results about the refined Eulerian numbers and descent polynomials are also derived. Specifically, the explicit and recurrence formulas for the refined Eulerian numbers and descent polynomials are obtained. This paper also provides a new approach to study Eulerian numbers. |
| |
| Keywords: | B-splines Eulerian numbers Refined Eulerian numbers Descent polynomials Log-concavity |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
