A spline interpretation of Eulerian numbers

Details A spline interpretation of Eulerian numbers A spline interpretation of Eulerian numbers

2008-08-18

arxiv.org/abs/0808.2349v2

Mathematics

Numerical Analysis

6 pages

Scientific paper

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 $D_d^n(t)$ are log-concave. This paper also
provides a new approach to study Eulerian numbers and descent polynomials.

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