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.
Some identities involving second kind Stirling numbers of types B and D / Bagno E.; Biagioli R.; Garber D.. - In: SÉMINAIRE LOTHARINGIEN DE COMBINATOIRE. - ISSN 1286-4889. - ELETTRONICO. - (2019), pp. 38.1-38.12. (Intervento presentato al convegno 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 tenutosi a University of Ljubljana nel 2019).
Some identities involving second kind Stirling numbers of types B and D
Biagioli R.;
2019
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
