q -Riordan array for q -Pascal matrix and its inverse matrix
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. 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.
Kaynak
Turkish Journal of MathematicsCilt
40Sayı
5Bağlantı
https://app.trdizin.gov.tr/publication/paper/detail/TWpRMU16UXpNdz09https://hdl.handle.net/20.500.12450/460