Results 41 to 50 of about 145 (136)

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

On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers

Journal of Discrete Mathematical Sciences and Cryptography, 2021
In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-J...
openaire   +2 more sources

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

Horadam Spinors

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence.
Tülay Erişir, Serkan Araci
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 Fuzzy Jacobsthal and Jacobsthal-Lucas Numbers

European Journal of Pure and Applied Mathematics
This study examines the generalization of the classical Jacobsthal and Jacobsthal-Lucas numbers to fuzzy numbers. Using the triangular membership function and the α-cut method, a recurrence relation is given for newly defined fuzzy numbers, and formulas for the general terms of fuzzy sequences are derived.
Büşra Nelik, Serpil Halici
openaire   +1 more source

Jacobsthal and Jacobsthal-Lucas numbers with Lehmar property

, 2020
it seems that there is an error in the ...
openaire   +2 more sources

On The Jacobsthal Numbers By Matrix Method

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2012
: In this paper we consider the usual Jacobsthal numbers. We investigate the identities between the Jacobsthal numbers and matrices, which are introduced for the first time in this paper. We also present a new complex sum formula.
Ahmet Daşdemir
doaj  

Gaussian Jacobsthal And Gaussian Jacobsthal Lucas Numbers.

Ars Comb., 2013
In this study we define and study the Gaussian Jacob-sthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers. We also present explicit combinatorial and determinantal expressions, study negatively subscripted numbers and give various identities. Similar to the Jacobsthal
Aşçı, Mustafa, Gürel, Eşref
openaire   +4 more sources

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

Axioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source