Article
One-pth Riordan Arrays in the Construction of Identities
Journal of Mathematical Research with Applications (JMRA)
(2021)
Abstract
For an integer p ≥ 2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array. When p = 2 one-pth Riordan arrays are reduced to well known half Riordan arrays. The generating functions of the A-sequences of vertical and horizontal one-pth Riordan arrays are found. The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities. They can also be used to verify some well known identities readily.
Keywords
- Riordan array,
- one-pth Riordan arrays,
- A-sequence,
- generating function,
- identities
Disciplines
Publication Date
Spring March, 2021
DOI
10.3770/j.issn:2095-2651.2021.02.001
Publisher Statement
The Journal of Mathematical Research with Applications is published by the Dalian University of Technology and the China Society for Industrial and Applied Mathematics. More information on this journal can be found at JMRA online.
Citation Information
Tian-Xiao He. "One-pth Riordan Arrays in the Construction of Identities" Journal of Mathematical Research with Applications (JMRA) Vol. 41 Iss. 2 (2021) p. 111 - 126 ISSN: 2095-2651 Available at: http://works.bepress.com/tian_xiao_he/101/