Combinatorial sequences resulting from the inputs of powers of triangular matrices

Imene TOUAIBIA; Miloud MIHOUBI

doi:10.5269/bspm.67822

Combinatorial sequences resulting from the inputs of powers of triangular matrices

Imene TOUAIBIA USTHB
Miloud MIHOUBI RECITS Laboratory, Faculty of Mathematics, University of Sciences and Technology Houari Boumediene (USTHB), P.O. Box 32, El Alia, 16111 Algiers, Algeria.

Résumé

In this paper, we give combinatorial interpretations for symmetric functions by the successive powers of triangular matrices. Several interpretations and properties on generalized r-Stirling numbers of the second kind may be deduced.