• Mixed coloured permutations

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0014

• # Keywords

Stirling numbers of the first kind; $r$ -Stirling numbers; mixed partitions; Bell polynomials

• # Abstract

In this paper, we introduce mixed coloured permutations, permutations with certain coloured cycles, and study the enumerative properties of these combinatorial objects. We derive the generating function, closed forms, recursions and combinatorial identities for the counting sequence, for mixed Stirling numbers of the first kind. In this comprehensive study, we consider further the conditions on the length of the cycles, $r$-mixed Stirling numbers and the connection to Bell polynomials.

• # Author Affiliations

1. Faculty of Water Sciences, National University of Public Service, Budapest, Hungary
2. Faculty of Agriculture and Animal Science, University of Torbat-e Jam, Torbat-e Jam, Iran

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019