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.

Bagno E., Biagioli R., Garber D. (2019). Some identities involving second kind Stirling numbers of types B and D. Formal Power Series and Algebraic Combinatorics.

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.
2019
FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics
1
12
Bagno E., Biagioli R., Garber D. (2019). Some identities involving second kind Stirling numbers of types B and D. Formal Power Series and Algebraic Combinatorics.
Bagno E.; Biagioli R.; Garber D.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/802792
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact