The \(r\)-Stirling numbers of the first kind in terms of the Möbius function
type: Item
instance of: scholarly article
title: The \(r\)-Stirling numbers of the first kind in terms of the Möbius function
author: Mircea Merca
author: Cristina Ballantine
published in: The Ramanujan Journal
publication date: 2021-07-07T00:00:00Z
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 7369447
zbMATH Keywords: Stirling numbers
zbMATH Keywords: binomial coefficients
zbMATH Keywords: Möbius function
zbMATH Keywords: symmetric functions
zbMATH Keywords: set partitions
MaRDI profile type: Publication
full work available at URL: s11139-019-00231-3
OpenAlex ID: W3024002232
cites work: Combinatorial theory.
cites work: Q4146776
cites work: On the Applications of Mobius Inversion in Combinatorial Analysis
cites work: Q4953862
cites work: The \(r\)-Stirling numbers
cites work: Q4769056
cites work: On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy
cites work: Q4320535
cites work: Patterns in permutations and words.
cites work: A Note on Stirling Series
cites work: Fast algorithm for generating ascending compositions
cites work: A convolution for complete and elementary symmetric functions
cites work: A note on the \(r\)-Whitney numbers of Dowling lattices
cites work: A new connection betweenr-Whitney numbers and Bernoulli polynomials
cites work: New convolutions for complete and elementary symmetric functions
cites work: On the maximum of \(r\)-Stirling numbers
cites work: New properties of \(r\)-Stirling series
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
cites work: Q3748279
DOI: 10.1007/S11139-019-00231-3
description: scientific article; zbMATH DE number 7369447