The double almost-Riordan group
TX He - Linear Algebra and its Applications, 2025 - Elsevier
In this paper, we define double almost-Riordan arrays and find that the set of all double
almost-Riordan arrays forms a group, called the double almost-Riordan group. We also …
almost-Riordan arrays forms a group, called the double almost-Riordan group. We also …
Characterization of almost-Riordan arrays with row sums
Y Alp, EG Kocer - Linear Algebra and its Applications, 2025 - Elsevier
The almost-Riordan arrays and their inverses are investigating by the generating functions
of the row sum, the alternating row sum, and the weighted row sum. The A, Z, and ω …
of the row sum, the alternating row sum, and the weighted row sum. The A, Z, and ω …
Some properties of combinatorial triangles related to Horadam polynomials
Y Wang, J Zhang, H Liang - Linear and Multilinear Algebra, 2024 - Taylor & Francis
The Horadam polynomials unify many well-known polynomials, such as the Fibonacci
polynomials, the Lucas polynomials, the Pell polynomials, the Jacobsthal polynomials and …
polynomials, the Lucas polynomials, the Pell polynomials, the Jacobsthal polynomials and …
The Double Almost-Riordan Arrays and Their Sequence Characterization, Compression, and Total Positivity
TX He - arXiv preprint arXiv:2411.05334, 2024 - arxiv.org
In this paper, we define double almost-Riordan arrays and find that the set of all double
almost-Riordan arrays forms a group, called the double almost-Riordan group. We also …
almost-Riordan arrays forms a group, called the double almost-Riordan group. We also …
Exponential Almost-Riordan Arrays
The group of the almost-Riordan arrays with exponential generating functions is defined.
The subgroups of the exponential almost-Riordan group are presented. Also, some …
The subgroups of the exponential almost-Riordan group are presented. Also, some …
Total Positivity of Quasi-Riordan Arrays
TX He, R Słowik - arXiv preprint arXiv:2406.07120, 2024 - arxiv.org
In this paper the total positivity of quasi-Riordan arrays is investigated with use of the
sequence characterization of quasi-Riordan arrays. Due to the correlation between quasi …
sequence characterization of quasi-Riordan arrays. Due to the correlation between quasi …
Total Positivity of Almost-Riordan Arrays
TX He, R Słowik - arXiv preprint arXiv:2406.03774, 2024 - arxiv.org
In this paper we study the total positivity of almost-Riordan arrays $(d (t)|\, g (t), f (t)) $ and
establish its necessary conditions and sufficient conditions, particularly, for some well used …
establish its necessary conditions and sufficient conditions, particularly, for some well used …