Restricted Stirling permutations
David Callan, Shi-Mei Ma, Toufik Mansour
TL;DR
This paper investigates the generating functions of pattern-restricted Stirling permutations, analyzing their properties, explicit formulas, and combinatorial explanations for equidistributions, advancing understanding of their structural characteristics.
Contribution
It provides new explicit formulas and symmetry properties for generating functions of restricted Stirling permutations, with combinatorial insights into equidistributions.
Findings
Derived explicit formulas for generating functions
Identified symmetric properties of the generating functions
Provided combinatorial explanations for equidistributions
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.
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