Representing the Stirling polynomials σn(x) in dependence of n and an application to polynomial zero identities

Denote by σn{\sigma }_{n} the n-th Stirling polynomial in the sense of the well-known book Concrete Mathematics by Graham, Knuth and Patashnik. We show that there exist developments xσn(x)=∑j=0n(2jj!)−1qn−j(j)xjx{\sigma }_{n}\left(x)={\sum }_{j=0}^{n}{\left({2}^{j}j\!)}^{-1}{q}_{n-j}\left...

Full description

Bibliographic Details
Main Authors: Kovačec Alexander, de Tovar Sá Pedro Barata
Format: Article
Language:English
Published: De Gruyter 2023-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2022-0184