Some identities involving second kind Stirling numbers of types B and D*

Eli Bagno, Riccardo Biagioli, David Garber

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12 Scopus citations

Abstract

Using Reiner’s definition of Stirling numbers of the second kind in types B and D, we generalize two well-known identities concerning the classical Stirling numbers of the second kind. The first identity relates them with Eulerian numbers and the second identity interprets them as entries in a transition matrix between the elements of two standard bases of the polynomial ring ℝ[x]. Finally, we generalize these identities to the group of colored permutations Gm,n.

Original languageEnglish
Article numberP3.9
JournalElectronic Journal of Combinatorics
Volume26
Issue number3
DOIs
StatePublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© The authors.

Funding

∗This research was supported by a grant from the Ministry of Science and Technology, Israel, and the France’s Centre National pour la Recherche Scientifique (CNRS) This research was supported by a grant from the Ministry of Science and Technology, Israel, and the France?s Centre National pour la Recherche Scientifique (CNRS)

FundersFunder number
France’s Centre National pour la Recherche Scientifique
Centre National de la Recherche Scientifique
Ministry of science and technology, Israel
Centre National pour la Recherche Scientifique et Technique

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