Numbers associated with Stirling numbers and \(X^ x\)
type: Item
instance of: scholarly article
title: Numbers associated with Stirling numbers and \(X^ x\)
zbMATH Open document ID: 0582.05002
DOI: 10.1216/RMJ-1985-15-2-461
author: D. H. Lehmer
published in: Rocky Mountain Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The Comtet numbers b(n,k) are defined by \(\sum_{n}b(n,k)x^ n/n!=\{(1+x)\log (1+x)\}^ k/k!.\) The author shows that their study is assisted by the introduction of associated numbers B(n,k), analogous to the situation for Stirling numbers of the first and second kind. Various properties are proved, such as \(b(4h+1,2h)=0\) for all positive integers h.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 3931016
zbMATH Keywords: Comtet numbers
zbMATH Keywords: Stirling numbers
Wikidata QID: Q29541679
MaRDI profile type: Publication
full work available at URL: rmj-1985-15-2-461
OpenAlex ID: W1992511194
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description: scientific article; zbMATH DE number 3931016