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Sum rules for permutations with fixed points involving Stirling numbers of the first kind

We propose sum rules for permutations <em>p</em><sub>n</sub>(<em>k</em>) of the ensemble {1,2,...,<em>n</em>} with <em>k</em> fixed points, in the form of partial sums of their moments. The corresponding identities involve Stirling numbers of the first kind <em>s</em>(<em>q,r</em>). Using a formula...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser: Jean-Christophe Pain
Format: Artigo
Sprache:Inglês
Veröffentlicht: InaCombS; Universitas Jember; dan Universitas Indonesia 2026-02-01
Schriftenreihe:Indonesian Journal of Combinatorics
Schlagworte:
partitions
fixed points
bell numbers
signed and unsigned stirling numbers of the first kind
stirling numbers of the second kind
binomial sums
Online-Zugang:http://www.ijc.or.id/index.php/ijc/article/view/257
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