P, Q-STIRLING NUMBERS AND SET PARTITION STATISTICS

被引：118

作者：

WACHS, M ^{[1
]}

WHITE, D ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1991年 / 56卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0097-3165(91)90020-H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. © 1991.

引用

页码：27 / 46

页数：20

共 14 条

[1]

Andrews G. E., 1976, ENCY MATH ITS APPL, V2

[2] Q-COUNTING ROOK CONFIGURATIONS AND A FORMULA OF FROBENIUS [J].