Results 21 to 30 of about 1,544,471 (165)

A New Approach to k-Jacobsthal Lucas Sequences

Sakarya University Journal of Science, 2021
In this study, 〖CS〗_(k,n) of S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas sequences is defined. S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas S_(k,n) sequences is obtained.In addition the transformation of CS_(k,n) is written as the product of the Catalan matrix C, which is the lower triangular matrix, and the S_k matrix of type 𝑛 𝑥 1 ...
Hakan Akkuş, Rabia Nagehan Üregen, Engi̇n Özkan   +2 more
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Matrix Representation of Bi-Periodic Jacobsthal Sequence

Journal of Advances in Mathematics and Computer Science, 2020
In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal matrix sequence. We dene it as with initial conditions J0 = I identity matrix, . We obtained the nth general term of this new matrix sequence. By studying the properties of this new matrix sequence,
Şükran Uygun, Evans Owusu
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Trigonometric Factorizations of the Pell and Jacobsthal Sequences

Journal of New Theory
The Pell and Jacobsthal numbers have inspired many studies in mathematics, especially in number theory. In this paper, we derive the trigonometric factorizations of the Pell and Jacobsthal sequences by using determinants of two specific new tridiagonal matrices and the roots of the Chebyshev polynomial of the second kind.
Ahmet Öteleş
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Some Properties of Generalized Jacobsthal-Like Sequences

Karaelmas Science and Engineering Journal
In this article, using Jacobsthal and Jacobsthal-Lucas sequences, we define generalized Jacobsthal-Like sequences and investigate their algebraic properties like Binet’s formula, generating functions, Simson formula and summation formula. We also prove some other summation formulas like sum of even and odd indices and alternating sum of generalized ...
Can Murat Dikmen, Kübra Karataş Selam
openalex   +4 more sources

Bivariate Jacobsthal and Jacobsthal Lucas polynomial sequences

Journal of Mathematics and Computer Science, 2020
Şükran Uygun
openalex   +3 more sources

On Gaussian Jacobsthal-Padovan Numbers

Cumhuriyet Science Journal, 2022
Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence.
Nusret Karaaslan
doaj   +1 more source

Uma visualização da sequência de Jacobsthal com o aporte do GeoGebra (A visualization of the Jacobsthal sequence with the contribution of GeoGebra)

Revista Digital Matemática, Educación e Internet, 2023
No Brasil, de acordo com as pesquisas, são escassos os trabalhos sobre a sequência de Jacobsthal nos cursos de licenciatura, e isso motivou a realização deste trabalho, dada a particularidade intrigante de sua definição.
Carla Patrícia Souza Rodrigues Pinheiro, Francisco Régis Vieira Alves, Daniel Brandão Menezes   +2 more
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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

Symmetric and generating functions of generalized (p,q)-numbers

Kuwait Journal of Science, 2021
In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
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The Complex‐Type k‐Pell Numbers and Their Applications

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, a new sequence called the complex‐type k‐Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums, the permanental and determinantal representations, and the Binet formula.
Yeşim Aküzüm, Xiaogang Liu
wiley   +1 more source