Identities between polynomials related to Stirling and harmonic numbers
type: Item
instance of: scholarly article
zbMATH Open document ID: 1315.11018
publication date: 2014-10-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1209.1018
full work available at URL: o54.Abstract.html
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11B75
zbMATH DE Number: 6360726
zbMATH Keywords: Stirling numbers
zbMATH Keywords: Bernoulli numbers
zbMATH Keywords: Genocchi numbers
zbMATH Keywords: 2-adic valuation
zbMATH Keywords: harmonic numbers
author: Bernd C. Kellner
MaRDI profile type: Publication
arXiv ID: 1209.1018
arXiv classification: math.NT
title: Identities between polynomials related to Stirling and harmonic numbers
published in: Integers
review text: The author investigates the polynomials \(\sum_{k=1}^n k!S(n,k)x^k\) and \(\sum_{k=1}^n k!S(n,k)H_kx^k\), where \(S(n,k)\) is the Stirling number of second kind and \(H_k\) is the harmonic number. He studies values, integrals and valuations related to these polynomials.
reviewed by: László A. Székely
description: scientific article; zbMATH DE number 6360726