Results 131 to 140 of about 1,544,471 (165)

THE JACOBSTHAL SEQUENCES IN FINITE GROUPS

, 2016
In this paper, we study the generalized order-k Jacobsthal sequences modulo m for k >= 2 and the generalized order-k Jacobsthal-Padovan sequence modulo m for k >= 3. Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for k >= 2 and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for k >= 3. Furthermore,
Karaduman, Erdal, Saglam, G., Deveci, O.
openaire   +2 more sources

On Jacobsthal and Jacobsthal–Lucas Octonions [PDF]

Mediterranean Journal of Mathematics, 2017
WOS:000396095300002Various families of quaternion and octonion number sequences (such as Fibonacci quaternion, Fibonacci octonion, and so on) have been established by a number of authors in many different ways.
Ahmet Ipek
exaly   +3 more sources

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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

On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences

2022
This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences. In particular, great attention is focused on the identification of the Binet type representations for our new sequence, including the generating functions, some important identities,
Jafari Petroudi, Seyyed Hossein, Daşdemir, Ahmet, Pirouz, Maryam   +2 more
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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.
Kuloğlu, Bahar, Özkan, Engin
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The adjacency-Jacobsthal-circulant sequence in groups

AIP Conference Proceedings, 2017
In this work, we study the adjacency-Jacobsthal-circulant sequence modulo α and we obtain the cyclic groups from the generating matrix of the adjacency-Jacobsthal-circulant numbers when read modulo α. Then, we derive the relationship among the periods of the adjacency-Jacobsthal-circulant sequence modulo α and the orders of the cyclic groups obtained ...
Ömür Deveci, Zafer Adıgüzel
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The (s, t) Jacobsthal and (s, t) Jacobsthal-Lucas Matrix Sequences.

Ars Comb., 2013
In this study, we first define new sequences named (s, t)-Jacobsthal and (s, t) Jacobsthal-Lucas sequences. After that, by using these sequences, we establish (s,t)-Jacobsthal and (s, t) Jacobsthal-Lucas matrix sequences. Finally we present some important relationships between these matrix sequences.
Uslu K., Uygun S.
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Derivative Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials

The Fibonacci Quarterly, 1997
Alwyn F. Horadam, Piero Filipponi
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New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Chaos, Solitons and Fractals, 2021
Engin Özkan, Songul Çelik
exaly  

Sylvester-Padovan-Jacobsthal-type sequences

2017
Maejo International Journal of Science and Technology, 11, 3 ...
openaire   +1 more source