Title
q-Stirling Identities Revisited.
Abstract
We give combinatorial proofs of q-Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz's identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg's Hankel q-Stirling determinantal identity. We also develop a two parameter generalization to unify identities of Mercier and include a symmetric function version.
Year
Venue
Keywords
2018
ELECTRONIC JOURNAL OF COMBINATORICS
q-analogues,q-Stirling numbers,restricted growth words,poset decomposition
DocType
Volume
Issue
Journal
25.0
1.0
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yue Cai100.34
Richard Ehrenborg223348.40
Margaret Readdy39516.72