Restricted stirling permutations

David Callan; Shi Mei Ma; Toufik Mansour

doi:10.11650/tjm.20.2016.6717

Restricted stirling permutations

David Callan, Shi Mei Ma, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.11650/tjm.20.2016.6717
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016, Mathematical Society of the Rep. of China. All rights reserved.

Keywords

Pattern avoidance
Plateaus
Stirling permutations

ASJC Scopus subject areas

General Mathematics

Access to Document

10.11650/tjm.20.2016.6717

Cite this

@article{a89dd3361c084060bc7db63d8030b334,

title = "Restricted stirling permutations",

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.",

keywords = "Pattern avoidance, Plateaus, Stirling permutations",

author = "David Callan and Ma, {Shi Mei} and Toufik Mansour",

year = "2016",

doi = "10.11650/tjm.20.2016.6717",

language = "English",

volume = "20",

pages = "957--978",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

publisher = "Mathematical Society of the Rep. of China",

number = "5",

}

TY - JOUR

T1 - Restricted stirling permutations

AU - Callan, David

AU - Ma, Shi Mei

AU - Mansour, Toufik

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Pattern avoidance

KW - Plateaus

KW - Stirling permutations

UR - http://www.scopus.com/inward/record.url?scp=84989858103&partnerID=8YFLogxK

U2 - 10.11650/tjm.20.2016.6717

DO - 10.11650/tjm.20.2016.6717

M3 - Article

AN - SCOPUS:84989858103

SN - 1027-5487

VL - 20

SP - 957

EP - 978

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 5

ER -

Restricted stirling permutations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this