Abstract
In this paper, we study the generating functions for the number of set partitions of [n] according to the number/sum of elements protected by weak/strong records (smaller elements that follow the weak/strong records). In particular, we present explicit formulas and asymptotics for the total number of number/sum of elements protected by weak/strong records over set partitions of [n].
| Original language | English |
|---|---|
| Pages (from-to) | 1880-1893 |
| Number of pages | 14 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 24 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2 Dec 2018 |
Bibliographical note
Publisher Copyright:© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Set partitions
- protected by strong records
- protected by weak records
- records
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics