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

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

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1506-56
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1038-1048
  • Gazi Üniversitesi Adresli: Evet

Özet

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.