Results 11 to 20 of about 14,002 (132)
A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors [PDF]
AIMS Mathematics, 2023 This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented.
Faik Babadağ
semanticscholar +4 more sources
Some bounds for the spectral norms of some circulant matrices with generalized Jacobsthal–Lucas numbers [PDF]
Mathematics OpenThe purpose of this paper is to investigate the bounds of the spectral norms of some circulant matrices whose elements are a generalization of Jacobsthal–Lucas numbers called bi-periodic Jacobsthal–Lucas numbers by three different ways.
Sukran Uygun
doaj +3 more sources
On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices [PDF]
Abstract and Applied Analysis, 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.
Yanpeng Gong, Zhaolin Jiang, Yun Gao
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Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials [PDF]
MathematicsBy drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
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Solutions of the Diophantine Equations Br=Js+Jt and Cr=Js+Jt
Journal of Mathematics, 2023 Let Brr≥0, Jrr≥0, and Crr≥0 be the balancing, Jacobsthal, and Lucas balancing numbers, respectively. In this paper, the diophantine equations Br=Js+Jt and Cr=Js+Jt are completely solved.
Ahmed Gaber, Mohiedeen Ahmed
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Identities on the product of Jacobsthal-like and Jacobsthal–Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 The purpose of this paper is to find the identities of Jacobsthal-like and Jacobsthal– Lucas numbers by using Binet’s formula.
A. Pakapongpun
semanticscholar +2 more sources
New families of Jacobsthal and Jacobsthal-Lucas numbers [PDF]
, 2015 In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.
Campos, Helena +4 more
core +16 more sources
Binomial sums with k-Jacobsthal and k-Jacobsthal–Lucas numbers
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we derive some important identities involving k-Jacobsthal and k-Jacobsthal–Lucas numbers. Moreover, we use multinomial theorem to obtain distinct binomial sums of k-Jacobsthal and k-Jacobsthal–Lucas numbers.
A. D. Godase
semanticscholar +2 more sources
On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers [PDF]
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...
Nayil Kilic, KILIÇ, Nayil
openaire +3 more sources
On Fuzzy Jacobsthal and Jacobsthal-Lucas Numbers
European Journal of Pure and Applied MathematicsThis 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 ...
Büşra Nelik, S. Halıcı
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