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

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Küçük Resim

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.