Yazar "Dziemianczuk, Maciej" seçeneğine göre listele

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    The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
    (Hindawi Publishing Corporation, 2014) Tuglu, Naim; Yesil, Fatma; Kocer, E. Gokcen; Dziemianczuk, Maciej
    We study an analogue of Riordan representation of Pascal matrices via Fibonomial coefficients. In particular, we establish a relationship between the Riordan array and Fibonomial coefficients, and we show that such Pascal matrices can be represented by an F-Riordan pair.
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    q-Riordan array for q-Pascal matrix and its inverse matrix
    (2016) Tuğlu, Naim; Yeşil, Fatma; Dziemianczuk, Maciej; Koçer, Emine Gökçen
    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.