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

Eli Bagno; Riccardo Biagioli; David Garber

doi:10.37236/8703

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

Eli Bagno, Riccardo Biagioli, David Garber

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

13 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 G_m,n.

Original language	English
Article number	P3.9
Journal	Electronic Journal of Combinatorics
Volume	26
Issue number	3
DOIs	https://doi.org/10.37236/8703
State	Published - 2019
Externally published	Yes

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)

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

Abstract

Bibliographical note

Funding

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