Combinatorics of q,r-analogues of Stirling numbers of type B

Eli Bagno; David Garber

doi:10.1016/j.disc.2025.114876

Combinatorics of q,r-analogues of Stirling numbers of type B

Eli Bagno
, David Garber

Jerusalem College of Technology
Michlalah Jerusalem College
Holon Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Stirling numbers of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters that realize q -analogues and Broder's r -variants of Stirling numbers of type B of both kinds, which count signed set partitions and signed permutations, respectively.

Original language	English
Article number	114876
Journal	Discrete Mathematics
Volume	349
Issue number	4
DOIs	https://doi.org/10.1016/j.disc.2025.114876
State	Published - Apr 2026
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2025 The Author(s).

Keywords

Restricted growth words
Set partitions of type B
Signed permutations
Stirling numbers
q-analogue

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10.1016/j.disc.2025.114876

Cite this

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abstract = "Stirling numbers of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters that realize q -analogues and Broder's r -variants of Stirling numbers of type B of both kinds, which count signed set partitions and signed permutations, respectively.",

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AB - Stirling numbers of the first and the second kinds have seen many generalizations and applications in various areas of mathematics. We introduce some combinatorial parameters that realize q -analogues and Broder's r -variants of Stirling numbers of type B of both kinds, which count signed set partitions and signed permutations, respectively.

KW - Restricted growth words

KW - Set partitions of type B

KW - Signed permutations

KW - Stirling numbers

KW - q-analogue

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Combinatorics of q,r-analogues of Stirling numbers of type B

Abstract

Bibliographical note

Keywords

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