On Hermite-Bell inverse polynomials
type: Item
instance of: scholarly article
title: On Hermite-Bell inverse polynomials
zbMATH Open document ID: 0566.33008
DOI: 10.1007/BF02844497
author: Maciej Sewerynski
publication date: 1984-01-01T00:00:00Z
review text: Bell introduced a set of polynomials by \[ \exp g(z)(d^ n/dz^ n)\exp [-g(z)]=Y_ n(g:z)\quad where\quad g(z)=\sum^{\infty}_{n=1}a_ nz^ n. \] In the present paper a related set of polynomials is considered for \(g(z)=pz^{-k}\), where p is a constant and K is a positive integer. The polynomials \(Y_ n(pz^{-k};z)\) are polynomials in \(z^{-1}\), and the author obtains an explicit formula and a differential equation for these polynomials.
Mathematics Subject Classification ID: 33E99
zbMATH DE Number: 3903051
zbMATH Keywords: Bell polynomials
reviewed by: R. Askey
MaRDI profile type: Publication
cites work: Exponential polynomials
cites work: Differential equation for Hermite-Bell polynomials
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3903051