Semantic Scholar Open Access 1990 195 sitasi

p, q-Stirling numbers and set partition statistics

M. Wachs D. White

Abstrak

Abstract We give bijections on restricted growth functions and rook placements on stairstep Ferrers boards to show that the q -Stirling numbers of the second kind, described by Gould, arise as generating functions for various statistics on set partitions. We also describe a two-variable, p, q -Stirling number which is the generating function for the joint distribution of pairs of statistics.

Penulis (2)

M

M. Wachs

D

D. White

Format Sitasi

Wachs, M., White, D. (1990). p, q-Stirling numbers and set partition statistics. https://doi.org/10.1016/0097-3165(91)90020-H

Akses Cepat

Informasi Jurnal
Tahun Terbit
1990
Bahasa
en
Total Sitasi
195×
Sumber Database
Semantic Scholar
DOI
10.1016/0097-3165(91)90020-H
Akses
Open Access ✓