On the r-Shifted Central Coefficients of Riordan Matrices
Joint Authors
Zheng, Sai-nan
Yang, Sheng-liang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zheng, Sai-nan& Yang, Sheng-liang. 2014. On the r-Shifted Central Coefficients of Riordan Matrices. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-503037
Modern Language Association (MLA)
Zheng, Sai-nan& Yang, Sheng-liang. On the r-Shifted Central Coefficients of Riordan Matrices. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-503037
American Medical Association (AMA)
Zheng, Sai-nan& Yang, Sheng-liang. On the r-Shifted Central Coefficients of Riordan Matrices. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-503037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503037