Getie, Esubalew (2011) A Survey of the Riordan Group. Masters thesis, Addis Ababa University.
![[img]](http://thesisbank.jhia.ac.ke/style/images/fileicons/application_pdf.png) |
PDF (A Survey of the Riordan Group)
Esubalew, Getie.pdf - Accepted Version Restricted to Repository staff only Download (1MB) | Request a copy |
Abstract
This project is all about a Survey of the Riordan group which is intimately related to the Riordan arrays in particular to the Fundamental Theorem of Riordan Arrays (FTRA) in solving enumerative problems. We focus on counting the average number of points on the axis of Dyck paths and the average number of hills in Dyck paths using the Catalan numbers, Fine numbers, and Schrőder numbers by switching between sequences and generating functions. The project also gives a unified presentation about tackling combinatorial identities, and finally introduce the group nature of Riordan arrays under matrix multiplication defined by , where and are generating functions in a proper Riordan array such that the column of a combinatorial sequence of defined by
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 29 Jun 2018 13:14 |
| Last Modified: | 29 Jun 2018 13:14 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/6338 |
Actions (login required)
 |
View Item |