Results 51 to 60 of about 1,789,377 (77)

On dual hyperbolic numbers with generalized Jacobsthal numbers components

, 2022
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas numbers.
SOYKAN, YÜKSEL, OKUMUŞ, İNCİ, TAŞDEMİR, ERKAN, Erkan Taşdemir, Yüksel Soykan, İnci Okumuş   +5 more
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On third-order Jacobsthal numbers and their bihyperbolic generalizations [PDF]

In this paper, we introduce bihyperbolic third-order Jacobsthal and third-order Jacobsthal--Lucas numbers. In other words, bihyperbolic numbers whose coefficients are consecutive third-order Jacobsthal and third-order Jacobsthal--Lucas numbers ...
Morales, Gamaliel
core   +1 more source

De Moivre-type Identities for the Jacobsthal Numbers

, 2021
The main aim of this study is to obtain De Moivre-type identities for Jacobsthal numbers. Also, this paper presents a method for constructing the second order Jacobsthal and Jacobsthal third-order numbers and the third-order Jacobsthal and Jacobsthal ...
Akbıyık, Mücahit, Akbıyık, Seda Yamaç   +1 more
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Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Shurong Sun, Luisa Morgado, Jehad Alzabut, Ivanka Stamova   +3 more
wiley   +1 more source

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

International Journal of Analysis and Applications, 2013
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar, Bijendra Singh, V. K. Gupta   +2 more
doaj   +2 more sources

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
doaj   +1 more source

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

Mathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud, Salah Boulaaras, Ali Allahem   +2 more
doaj   +1 more source

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers

, 2013
In this study we define and study the Gaussian Jacob-sthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers.
Gürel, Eşref, Aşçı, Mustafa
core  

-order Fibonacci and Lucas hybrid numbers

, 2021
In this study, we describe the generalized k-order Fibonacci and Lucas numbers and give some important results with specific choices. The main purpose of this study is to define the generalized k-order Fibonacci hybrid and Lucas hybrid numbers and give ...
Suleyman Aydinyuz, Asci, Mustafa, Aydinyuz, Suleyman, Mustafa Asci   +3 more
core   +1 more source

Complex Factorizations of the Jacobsthal and Jacobsthal Lucas Numbers

, 2010
In this paper, we present the complex factorizations of the Jacobsthal and Jacobsthal Lucas numbers by determinants of tridiagonal ...
Arslan, Saadet, Köken, Fikri
core