Mixed restricted Stirling numbers
Combinatorics
2018-12-10 v1
Abstract
In this note we investigate mixed partitions with extra condition on the sizes of the blocks. We give a general formula and the generating function. We consider in more details a special case, determining the generating functions, some recurrences and a connection to r-Stirling numbers. To obtain our results, we use pure combinatorial arguments, classical manipulations of generating functions and to derive the generating functions we apply the symbolic method.
Cite
@article{arxiv.1812.02955,
title = {Mixed restricted Stirling numbers},
author = {Somaya Barati and Beáta Bényi and Abbas Jafarzadeh and Daniel Yaqubi},
journal= {arXiv preprint arXiv:1812.02955},
year = {2018}
}
Comments
12 pages,