q-Riordan array for q-Pascal matrix and its inverse matrix

Tuğlu N., Yesil F., Dziemianczuk M., Kocer E. G.

TURKISH JOURNAL OF MATHEMATICS, vol.40, pp.1038-1048, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1506-56
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1038-1048
  • Gazi University Affiliated: Yes

Abstract

In this paper, we prove the q-analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations *(q) and *(1/q), we obtain a q-analogue of the Riordan representation of the q-Pascal matrix. In addition, by aid of the q-Lagrange expansion formula we get q-Riordan representation for its inverse matrix.