Results 31 to 40 of about 159 (139)

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila, Boussayoud Ali, Saba Nabiha   +2 more
doaj   +1 more source

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source

On Fibonacci (k,p)-Numbers and Their Interpretations

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
doaj   +1 more source

On Some Properties of Bihyperbolic Numbers of The Lucas Type

Communications in Advanced Mathematical Sciences, 2023
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
doaj   +1 more source

On some properties of Jacobsthal and Jacobsthal-Lucas numbers

Journal of Innovative Applied Mathematics and Computational Sciences
In this study, we first develop some helpful generating functions for the Jacobsthal and Jacobsthal-Lucas numbers. We have discussed generating functions for $\mathbf{J}_{2n}$ and $\mathbf{j}_{2n}$ with just even and odd terms and generating functions ...
Mirwais Mansoor kakar
doaj   +1 more source

On complex gaussian jacobsthal and jacobsthal-lucas quaternions

Cumhuriyet Science Journal, 2020
The main aim of this work is to introduce the complex Gaussian Jacobsthal and Jacobsthal-Lucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions.
Hasan Arslan
doaj   +1 more source

On the Norms of r−Hankel and r−Toeplitz Matrices

Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019
In this paper, using the properties of r−Hankel and r−Toeplitz matrices, combining the properties of exponential form, we shall study the spectral norms of r−Hankel and r–Toeplitz matrices involving exponential form e(x).
Baijuan Shi, Fazal M. Mahomed
wiley   +1 more source

On Power Sums Involving Lucas Functions Sequences

Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017
We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences. In particular, our formulas give a synthesis of various identities involving sum of powers of well‐known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials.
Stefano Barbero, Fazal M. Mahomed
wiley   +1 more source

GENERATING FUNCTIONS OF THE PRODUCT OF 2-ORTHOGONAL CHEBYSHEV POLYNOMIALS WITH SOME NUMBERS AND THE OTHER CHEBYSHEV POLYNOMIALS

Проблемы анализа, 2020
In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj   +1 more source

Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse ...
Li Liu, Zhaolin Jiang, Zidong Wang
wiley   +1 more source