On three-dimensional q-Riordan arrays

• Autorzy: Fang Gang , Koparal Sibel , Ömür Neşe , Duran Ömer , Khan Waseem Ahmad

Identyfikatory

DOI

10.1515/dema-2024-0005

• Języki publikacji: EN

Abstrakty

EN

In this article, we define three-dimensional q-Riordan arrays and q-Riordan representations for these arrays. Also, we give four cases of infinite multiplication three-dimensional matrices of these arrays. As applications, we obtain three-dimensional q-Pascal-like matrix and its inverse matrix by Heine’s binomial formula, using combinatorial identities. Finally, we consider the generalization of three-dimensional q-Pascal-like matrix and give some identities involving q-binomial coefficients.

Słowa kluczowe

EN

q-Riordan arrays; three-dimensional matrices; q-binomial coefficients; generating functions

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240005
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Fang Gang

• Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

autor

Koparal Sibel

• Department of Mathematics, Bursa Uludağ University, Bursa 16059, Türkiye

autor

Ömür Neşe

• Department of Mathematics, Kocaeli University, Kocaeli 41380, Türkiye

autor

Duran Ömer

• Department of Mathematics, Kocaeli University, Kocaeli 41380, Türkiye

autor

Khan Waseem Ahmad

• Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).