Results 61 to 70 of about 122 (113)

The Relation Between Chebyshev Polynomials and Jacobsthal and Jacobsthal Lucas Sequences

Sakarya University Journal of Science, 2020
In this paper Jacobsthal, Jacobsthal Lucas and generalized Jacobsthal sequences are denoted by aid of first or second type of Chebyshev polynomials by different equalities. Then using these equalities a relation is obtained between Jacobsthal and generalized Jacobsthal numbers.
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A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
doaj   +1 more source

A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences

Mathematics
In this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
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On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

Adıyaman University Journal of Science
In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed.
Tülay Erişir, Mehmet Ali Güngör
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A New Generalization of Jacobsthal Lucas Numbers (Bi-Periodic Jacobsthal Lucas Sequence)

Journal of Advances in Mathematics and Computer Science, 2020
In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as   with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for this sequence are given. The convergence property of the consecutive
Evans Owusu, Sukran Uygun
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Matrix Representation of Bi-Periodic Jacobsthal Sequence

Journal of Advances in Mathematics and Computer Science, 2020
In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal matrix sequence. We dene it as with initial conditions J0 = I identity matrix, . We obtained the nth general term of this new matrix sequence. By studying the properties of this new matrix sequence,
Uygun, Sukran, Owusu, Evans
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A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
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Hyperbolic Jacobsthal spinor sequences and their mathematical properties

Discrete Mathematics, Algorithms and Applications
In this study, novel Hyperbolic spinor sequences of Jacobsthal, Jacobsthal–Lucas and Jacobsthal polynomial, which have not been studied before, are defined by investigating the relationship between spinors, which are important mathematical objects used in physics and mathematics, and split Jacobsthal and split Jacobsthal–Lucas quaternions, which are ...
Selime Beyza Özçevik, Abdullah Dertli
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Right Circulant Matrices with Jacobsthal Sequence

International Journal of Advanced Mathematical Sciences, 2013
In this paper, the eigenvalues, Euclidean norm and inverse of right circulant matrices with Jacobsthal sequence were obtained.
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