Hyperbolic $$\pmb k$$ -Jacobsthal and $$\pmb k$$ -Jacobsthal-Lucas Quaternions |
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In this work, we investigate the hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions.
We give Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating …

In this paper, we first consider the Jacobsthal and Jacobsthal Lucas quaternions and
octonions. By making use of definitions of these sequences, we derive some novel and …

Binomial sums with k-Jacobsthal and k-Jacobsthal--Lucas numbers Page 1 Notes on Number
Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 2022 …

This paper presents a detailed procedure for determining the probability of return for random
walks on Z, whose increment is given by a generalization of a well-known Fibonacci …

This study considers the m-order linear recursive sequences yielding some well-known
sequences (such as the Fibonacci, Lucas, Pell, Jacobsthal, Padovan, and Perrin …

This work is concerned with the spectral, Euclid norms of Toeplitz matrices with generalized
𝑘-Jacobsthal and k-Jacobsthal Lucas entries. 𝑘-Jacobsthal and k-Jacobsthal Lucas …

Jacobsthal and Jacobsthal-Lucas numbers are particular examples of generalized
Fibonacci numbers. These numbers were first defined in the year 1996 by Horadam [4]. In …

RESUME L'étude des points periodiques sur une courbe elliptique régis par la suite de
Fibonacci et de ses extensions a fait l'objet de plusieurs papiers récents. Nous nous …

Let G=(V, E) be a graph. A subset S⊆ V is a total dominating set if every vertex in V has a
neighbor in S. A total dominating set S is said to be weak if every vertex v∈ V− S is adjacent …