Results 71 to 80 of about 1,240,504 (163)

Horadam Spinors

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence.
Tülay Erişir, Serkan Araci
wiley   +1 more source

On The Connections Between Jacobsthal Numbers and Fibonacci p-Numbers

, 2020
In this paper, we define the Fibonacci-Jacobsthal p-sequence and then we discuss the connection between of the Fibonacci-Jacobsthal p-sequence with the Jacobsthal and Fibonacci p-sequences.
Omur Deveci, Ozgur Erdag
core   +1 more source

On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers [PDF]

, 2021
In this paper we introduce two-parameter generalization of dualhyperbolic Jacobsthal numbers: dual-hyperbolic (s,p)-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.
Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona   +2 more
core   +2 more sources

Jacobsthal and Jacobsthal-Lucas numbers with Lehmar property

, 2020
it seems that there is an error in the ...
openaire   +2 more sources

Generalized commutative Jacobsthal quaternions and some matrices

Examples and Counterexamples, 2023
In this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation.
Dorota Bród, Anetta Szynal-Liana
doaj   +1 more source

Applications and properties of Jacobsthal and Jacobsthal Lucas numbers [PDF]

, 2008
Bu çalışmada, Horadam tarafından tanımlanmış olan Jacobsthal ve Jacobsthal Lucas sayılarının verilen özelliklerine ek olarak bazı özellikler elde edildi. Jacobsthal sayılarının bölünebilme özellikleri verildi.
Köken, Fikri
core  

Two-parameter generalization of bihyperbolic Jacobsthal numbers

, 2022
In this paper we define a two-parameter generalization of bihyperbolic Jacobsthal numbers.
Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona   +2 more
core   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +1 more source

Mersenne-Horadam identities using generating functions

Karpatsʹkì Matematičnì Publìkacìï, 2020
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj   +1 more source

A Generalization of Jacobsthal and Jacobsthal-Lucas numbers

, 2019
In this paper, we study a generalization of Jacobsthal and Jacobsthal-Lucas numbers, we find their generating function binet formulas, related matrix representation and many other ...
openaire   +2 more sources