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

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-Riordan array for q -Pascal matrix and 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.

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ژورنال

عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS

سال: 2016

ISSN: 1300-0098,1303-6149

DOI: 10.3906/mat-1506-56