q-Riordan array for q-Pascal matrix and its inverse matrix
Yükleniyor...
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
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 qLagrange expansion formula we get q-Riordan representation for its inverse matrix.
Açıklama
Anahtar Kelimeler
Riordan representation, Pascal matrices, q -calculus
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
40
Sayı
5
Künye
Tuğlu, N., Yeşil, F., Dziemianczuk, M., Koçer, E. G. (2016). q-Riordan array for q-Pascal matrix and its inverse matrix. Turkish Journal of Mathematics, 40, 5, 1038-1048.