A general method of deducing the determinantal expressions for polynomial and its derivative
arXiv:2608.18670
Abstract
In this paper, we present a general method of deducing the determinantal expressions for a polynomial and its derivative. As illustrations, we provide three determinantal expressions for the derivative of the Eulerian polynomial. Using a functional equation discovered by Gessel,we also establish the determinantal expressions for the second-order Eulerian polynomial and its derivative.
arXiv comment10 pages