Results 41 to 50 of about 122 (113)

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

On Power Sums Involving Lucas Functions Sequences

Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017
We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences. In particular, our formulas give a synthesis of various identities involving sum of powers of well‐known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials.
Stefano Barbero, Fazal M. Mahomed
wiley   +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

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

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

On Jacobsthal and Jacobsthal‐Lucas Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and g‐circulant matrices with the Jacobsthal and Jacobsthal‐Lucas numbers. First, we discuss the invertibility of the circulant matrix and present the determinant and the inverse matrix ...
Yanpeng Gong, Zhaolin Jiang, Yun Gao, Shurong Sun   +3 more
wiley   +1 more source

k-Jacobsthal and k-Jacobsthal Lucas matrix sequences

International Mathematical Forum, 2016
In this study, we consider sequences named k-Jacobsthal, k-Jacobsthal Lucas sequences. After that, by using these sequences, we dene kJacobsthal and k-Jacobsthal-Lucas matrix sequence at the same time. Finally we investigate some properties of these sequences, present some important relationship between k-Jacobsthal matrix sequence and kJacobsthal ...
S. Uygun, H. Eldogan
openaire   +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, Ahmed Ghezal, Alberto Fiorenza   +2 more
wiley   +1 more source

Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented.
Yanpeng Zheng, Sugoog Shon, Zidong Wang
wiley   +1 more source

On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System

Trends in Computational and Applied Mathematics
The main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence.
M. Rachidi, F. Yilmaz
doaj   +1 more source