Results 41 to 50 of about 1,206 (140)
Проблемы анализа, 2020 In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj +1 more source
Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse ...
Li Liu, Zhaolin Jiang, Zidong Wang
wiley +1 more source
On the Lichtenberg hybrid quaternions [PDF]
Mathematica MoravicaIn this study, we define Lichtenberg hybrid quaternions. We give the Binet's formula, the generating functions, exponential generating functions and sum formulas of these quaternions. We find some relations between Jacobsthal hybrid quaternions, Mersenne
Morales Gamaliel
doaj +1 more source
VanderLaan Circulant Type Matrices
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g‐circulant matrices. The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers. The
Hongyan Pan, Zhaolin Jiang, Shen Yin
wiley +1 more source
Asian Research Journal of Mathematics, 2019 In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we investgate Lorentzian inner product for the hyperbolic Jacobsthal vectors.
openaire +3 more sources
On Bicomplex Jacobsthal Numbers
Communications in Mathematics and Applications, 2021 In this article, bicomplex Jacobsthal and bicomplex Jacobsthal-Lucas numbers are introduced and some properties related to them are investigated.
openaire +3 more sources
Transactions of the Institute of British Geographers, Volume 50, Issue 3, September 2025.Short Abstract 1940 saw the mass internment of so‐called ‘enemy aliens’ within Britain; this meant that innocent civilians were incarcerated in camps across the country, particularly within the tourist spaces of the Isle of Man. We interrogate how the holiday—as a geography of ideas, spaces, practices movements and sensibilities—became a frame of ...
Michael Holden, Peter Adey
wiley +1 more source
Journal of Applied Mathematics, 2012 Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we consider one type of directed graph. Then we obtain a general form of the adjacency matrices of the graph.
Fatih Yılmaz, Durmuş Bozkurt
doaj +1 more source
Quadratic Approximation of Generalized Tribonacci Sequences
, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence $\{V_{n}\}_{n\geq0}$ defined by Eq. (\ref{eq:7}) and use this result to give the matrix form of the $n$-th power of a companion matrix of $\{V_{n}\}_{n\geq0}$.
Cerda-Morales, Gamaliel
core +1 more source
Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper aims to extend the research conducted by Yalçınkaya et al. on one‐dimensional dynamics, specifically, their work titled “Qualitative behavior of a higher‐order fuzzy difference equation.” The purpose of this study is to expand the analysis of fuzzy difference equations into a bidimensional framework.
Najmeddine Attia +2 more
wiley +1 more source