A note on Stirling permutations

2020/05/08 by Ira M. Gessel, Gessel, Ira M. · 1 citation
Computer Science · Mathematics · #05A15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Bayesian Methods and Mixture Models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2005.04133

openalex publication_date 2020/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we generalize an identity of John Riordan and Robert Donaghey relating the enumerator for Stirling permutations to the Eulerian polynomials.

Citations

• A family of symmetric functions associated with Stirling permutations
• Generalizations of two-stack-sortable permutations

Cited by

• Eulerian-type polynomials over Stirling permutations and box sorting algorithm

Related

• The 1/k-Eulerian polynomials and k-Stirling permutations
• Eulerian polynomials, perfect matchings and Stirling permutations of the second kind
• Stirling permutation codes
• Stirling permutations, marked permutations and Stirling derangements
• Stirling permutations, cycle structures of permutations and perfect matchings