On the r-Shifted Central Coefficients of Riordan Matrices
By presenting Riordan matrix as a triangle, the central coefficients are entries in the central column. Starting at the central column, the r-shifted central coefficients are entries in column r of the right part of the triangle. This paper aims to characterize the r-shifted central coefficients of...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/848374 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563043441049600 |
|---|---|
| author | Sai-nan Zheng Sheng-liang Yang |
| author_facet | Sai-nan Zheng Sheng-liang Yang |
| author_sort | Sai-nan Zheng |
| collection | DOAJ |
| description | By presenting Riordan matrix as a triangle, the central coefficients are entries in the central column. Starting at the central column, the r-shifted central coefficients are entries in column r of the right part of the triangle. This paper aims to characterize the r-shifted central coefficients of Riordan matrices. Here we will concentrate on four elements of the subgroups of the Riordan group, that is, the Bell subgroup, the associated subgroup, the derivative subgroup, and the hitting time subgroup. Some examples are presented to show how we deduce the generating functions for interesting sequences by using different means of calculating these r-shifted central coefficients. Besides, we make some extensions in the Bell subgroup. |
| format | Article |
| id | doaj-art-9fb94ae6559f41a4b9c28cf2a499f533 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9fb94ae6559f41a4b9c28cf2a499f5332025-02-03T01:21:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/848374848374On the r-Shifted Central Coefficients of Riordan MatricesSai-nan Zheng0Sheng-liang Yang1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaBy presenting Riordan matrix as a triangle, the central coefficients are entries in the central column. Starting at the central column, the r-shifted central coefficients are entries in column r of the right part of the triangle. This paper aims to characterize the r-shifted central coefficients of Riordan matrices. Here we will concentrate on four elements of the subgroups of the Riordan group, that is, the Bell subgroup, the associated subgroup, the derivative subgroup, and the hitting time subgroup. Some examples are presented to show how we deduce the generating functions for interesting sequences by using different means of calculating these r-shifted central coefficients. Besides, we make some extensions in the Bell subgroup.http://dx.doi.org/10.1155/2014/848374 |
| spellingShingle | Sai-nan Zheng Sheng-liang Yang On the r-Shifted Central Coefficients of Riordan Matrices Journal of Applied Mathematics |
| title | On the r-Shifted Central Coefficients of Riordan Matrices |
| title_full | On the r-Shifted Central Coefficients of Riordan Matrices |
| title_fullStr | On the r-Shifted Central Coefficients of Riordan Matrices |
| title_full_unstemmed | On the r-Shifted Central Coefficients of Riordan Matrices |
| title_short | On the r-Shifted Central Coefficients of Riordan Matrices |
| title_sort | on the r shifted central coefficients of riordan matrices |
| url | http://dx.doi.org/10.1155/2014/848374 |
| work_keys_str_mv | AT sainanzheng onthershiftedcentralcoefficientsofriordanmatrices AT shengliangyang onthershiftedcentralcoefficientsofriordanmatrices |