Closed forms for powers and inverses of special matrices

2020/08/30 by Mihoubi, Miloud
#15A16 #15A29 #15B99 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.13287

Abstract

This contribution is motivated by old and recent works on matrix powers and their applications on combinatorial sequences. We give in this paper the s-th powers and the inverses for special upper triangular matrices and the s-th powers for special non-triangular matrices. The used tools are Lagrange inversion formula and the partial Bell polynomials.

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