Results 101 to 110 of about 1,634,732 (135)

Bivariate Jacobsthal and bivariate Jacobsthal-Lucas matrix polynomial sequences

Journal of Mathematical and Computational Science, 2018
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The (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas sequences

Applied Mathematical Sciences, 2015
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Binominal transforms of k-Jacobsthal sequences

Journal of Mathematical and Computational Science, 2017
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Binomial Transform of the Generalized Third-Order Jacobsthal Sequence

Asian-European Journal of Mathematics, 2022
In this study, we establish the binomial transform of the generalized third-order Jacobsthal sequence. We also describe the binomial transform of four special cases of third-order Jacobsthal sequence such as the binomial transform of the third-order ...
Yuksel Soykan, Erkan Tasdemir
exaly   +2 more sources

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.
Sükran Uygun
exaly   +4 more sources

On the Third-Order Jacobsthal and Third-Order Jacobsthal–Lucas Sequences and Their Matrix Representations [PDF]

Mediterranean Journal of Mathematics, 2019
In this paper, we first give new generalizations for third-order Jacobsthal $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and third-order Jacobsthal-Lucas $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$ sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$
Gamaliel Cerda-Morales
exaly   +4 more sources

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Hyperbolic Functions Obtained From k-Jacobsthal Sequences

Asian-European Journal of Mathematics, 2022
In this paper, an expansion of the classical hyperbolic functions is presented and studied. Also, many features of the [Formula: see text]-Jacobsthal hyperbolic functions are given. Finally, we introduced some graph and curved surfaces related to the [Formula: see text]-Jacobsthal hyperbolic functions.
Engin Özkan
exaly   +2 more sources

The Adjacency-Jacobsthal-Hurwitz Sequences in Groups

Communications in Algebra, 2018
In [3], Deveci and Akuzum defined the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. In this work, firstly we produce the cyclic groups from the multiplicative orders of the generating matrices of the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind when read modulo and we study the adjacency-Jacobsthal-Hurwitz ...
Omur Deveci, Erdal Karaduman
exaly   +3 more sources

Integration Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials

1999
Here we are concerned with the Jacobsthal polynomials J n(x) and the Jacobsthal-Lucas polynomials j n(x) (e.g., see [4] and [5]) which are a natural extension of the Jacobsthal numbers J n and the Jacobsthal-Lucas numbers j n which, in turn, have been investigated in [3]. These polynomials are defined by the second-order recurrence relations $$J_{n+
Piero Filipponi, Alwyn F. Horadam
openaire   +1 more source