[PDF][PDF] On some new sequence spaces defined by q-Pascal matrix

T Yaying, B Hazarika, F Başar - Trans. A. Razmadze Math. Inst, 2022 - rmi.tsu.ge
TAJA YAYING1, BIPAN HAZARIKA2 AND FEYZI BASAR3∗ Abstract. In this study, we
construct the q-analog P (q) of Pascal matrix and study the sequence spaces c (P (q)) and c0 …

Generating series for torsion-free bundles over singular curves: rationality, duality and modularity

Y Huang, R Jiang - arXiv preprint arXiv:2312.12528, 2023 - arxiv.org
We consider two motivic generating functions defined on a variety, and reveal their tight
connection. They essentially count torsion-free bundles and zero-dimensional sheaves. On …

Sequence characterization of almost-Riordan arrays

Y Alp, EG Kocer - Linear Algebra and its Applications, 2023 - Elsevier
In this study, we consider A, Z and ω-sequences of the almost-Riordan arrays and their
inverses. Also, we get A, Z and ω-sequences of the product of two almost-Riordan arrays …

On Some Sequence Spaces via q-Pascal Matrix and Its Geometric Properties

T Yaying, B Hazarika, M Et - Symmetry, 2023 - mdpi.com
We develop some new sequence spaces 𝓁 p (P (q)) and 𝓁∞(P (q)) by using q-Pascal matrix
P (q). We discuss some topological properties of the newly defined spaces, obtain the …

Solution of simultaneous nonlinear integral equations by generalized contractive condition

SK Tiwari, L Rathour, VN Mishra - Measure of Noncompactness …, 2024 - taylorfrancis.com
An abstract metric space was first introduced and studied by the French mathematician
Frechet [19] in 1906. Many researchers [6, 7, 16, 17, 22, 24] have generalized the concept of …

On three-dimensional q-Riordan arrays

G Fang, S Koparal, N Ömür, Ö Duran… - Demonstratio …, 2024 - degruyter.com
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 …

[HTML][HTML] q-Riordan representation

FY Baran, N Tuglu - Linear Algebra and its Applications, 2017 - Elsevier
q-Riordan representation - ScienceDirect Skip to main contentSkip to article Elsevier logo
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[PDF][PDF] Leonardo and hyper-Leonardo numbers via Riordan arrays

Y Alp, EG Kocer - Ukrains' kyi Matematychnyi Zhurnal, 2024 - researchgate.net
In this paper, we define a generalization of the Leonardo numbers called the hyper-
Leonardo numbers. Then, the infinite lower triangular matrices with Leonardo and hyper …

Compactness via Hausdorff measure of noncompactness on q-Pascal difference sequence spaces

T Yaying, SA Mohiuddine - Measure of Noncompactness, Fixed Point … - taylorfrancis.com
The q-calculus has been very instrumental in advancing several mathematical concepts
mainly in the area of approximation theory, combinatorics, calculus, special functions …

[PDF][PDF] BIVARIATE LEONARDO POLYNOMIALS AND RIORDAN ARRAYS

Y ALP, EG KOCER - researchgate.net
Bivariate Leonardo polynomials, which are closely related to bivariate Fibonacci
polynomials, are defined in this paper. Bivariate Leonardo polynomials are a generalization …