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Séminaire Lotharingien de Combinatoire, 82B.38 (2019), 12 pp.

# Eli Bagno, Riccardo Biagioli, and David Garber

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

**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 relates them with Eulerian numbers and the second uses them as entries in a transition matrix between the elements of two standard bases of the polynomial ring in one variable.

Received: November 15, 2018.
Accepted: February 17, 2019.
Final version: April 1, 2019.

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