One-pth Riordan Arrays in the Construction of Identities

Research output: Journal ArticleArticlepeer-review

Abstract

For an integer p ≥ 2 we construct vertical and horizontal one- p th Riordan arrays from a Riordan array. When p = 2 one- p th Riordan arrays are reduced to well known half Riordan arrays. The generating functions of the A-sequences of vertical and horizontal one- p th Riordan arrays are found. The vertical and horizontal one- p th Riordan arrays provide an approach to construct many identities. They can also be used to verify some well known identities readily.
Original languageAmerican English
JournalJournal of Mathematical Research with Applications (JMRA)
Volume41
DOIs
StatePublished - Mar 2021

Keywords

  • Riordan array
  • one-pth Riordan arrays
  • A-sequence
  • generating function
  • identities

Disciplines

  • Applied Mathematics
  • Mathematics

Cite this