q -Riordan array for q -Pascal matrix and its inverse matrix
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In this paper, we prove the q -analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations &#8727;q and &#8727;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.
SourceTurkish Journal of Mathematics