Abstract
In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents. Properties of the generating functions, including symmetric properties and explicit formulas are studied. Combinatorial explanations are given for some equidistributions.
| Original language | English |
|---|---|
| Pages (from-to) | 957-978 |
| Number of pages | 22 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 20 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Funding Information:The second author was supported by NSFC (11401083) and the Fundamental Research Funds for the Central Universities (N152304006). The authors would like to thank referees for their valuable suggestions.
Publisher Copyright:
© 2016, Mathematical Society of the Rep. of China. All rights reserved.
Keywords
- Pattern avoidance
- Plateaus
- Stirling permutations
ASJC Scopus subject areas
- Mathematics (all)