q-Riordan array for q-Pascal matrix and its inverse matrix
TURKISH JOURNAL OF MATHEMATICS, cilt.40, ss.1038-1048, 2016 (SCI-Expanded, Scopus, TRDizin)
- 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.