New definitions of the generalized Stirling numbers

Michael Maltenfort

doi:10.1007/s00010-019-00685-2

New definitions of the generalized Stirling numbers

Michael Maltenfort^*

^*Corresponding author for this work

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9 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 language	English (US)
Journal	Aequationes Mathematicae
DOIs	https://doi.org/10.1007/s00010-019-00685-2
State	Accepted/In press - Jan 1 2019

Keywords

Generalized Stirling numbers
r-Whitney numbers
Stirling numbers

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1007/s00010-019-00685-2

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New definitions of the generalized Stirling numbers

Abstract

Keywords

ASJC Scopus subject areas

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