New definitions of the generalized Stirling numbers

Michael Maltenfort*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We introduce new combinatorial and algebraic definitions for the generalized Stirling numbers of Hsu and Shiue, and we use the interplay between these definitions to extend existing identities and discover new ones. We also explore how some of these results specialize to new identities of r-Whitney numbers.

Original languageEnglish (US)
JournalAequationes Mathematicae
DOIs
StateAccepted/In press - Jan 1 2019

Keywords

  • Generalized Stirling numbers
  • r-Whitney numbers
  • Stirling numbers

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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