Negative $q$-Stirling numbers

The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of restricted growth words. The resulting express...

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Bibliographic Details
Main Authors: Yue Cai, Margaret Readdy
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2503/pdf