Results 11 to 20 of about 1,544,471 (165)
Matrix Structure of Jacobsthal Numbers
Journal of Function Spaces, 2021 The main scenario of this paper is to introduce a new sequence of Jacobsthal type having a generalized order j. Some basic properties will be studied concerning it. Also, we will establish the generalized Binet formula.
Abdul Hamid Ganie, Mashael M. AlBaidani
doaj +3 more sources
On r-Jacobsthal and r-Jacobsthal-Lucas Numbers [PDF]
Annales Mathematicae Silesianae, 2023 Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences ...
Bilgici Göksal, Bród Dorota
doaj +5 more sources
On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions
Adıyaman University Journal of ScienceIn this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed.
Tülay Eri̇şi̇r +1 more
core +5 more sources
On Generalized Jacobsthal and Jacobsthal–Lucas Numbers [PDF]
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
doaj +3 more sources
On New Polynomial Sequences Constructed to Each Vertex in an n-Gon
Discrete Dynamics in Nature and Society, 2022 In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n-gon. We compute the relation among the polynomials with such vertices.
Abdul Hamid Ganie +3 more
doaj +2 more sources
The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence [PDF]
Hittite Journal of Science and Engineering, 2016 In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are ...
Ahmet Daşdemir
doaj +2 more sources
On Bicomplex Jacobsthal-Lucas Numbers [PDF]
Journal of Mathematical Sciences and Modelling, 2020 In this study we introduced a sequence of bicomplex numbers whose coefficients are chosen from the sequence of Jacobsthal-Lucas numbers. We also present some identities about the known some fundamental identities such as the Cassini's, Catalan's and ...
Serpil Halıcı
doaj +2 more sources
A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third-Order Recurrences
Journal of MathematicsIn this paper, we propose a novel encoding–decoding algorithm based on third-order linear recurrence sequences and their associated matrix representations.
Sukran Uygun
doaj +2 more sources
The Relation Between Chebyshev Polynomials and Jacobsthal and Jacobsthal Lucas Sequences
Sakarya University Journal of Science, 2020 In this paper Jacobsthal, Jacobsthal Lucas and generalized Jacobsthal sequences are denoted by aid of first or second type of Chebyshev polynomials by different equalities. Then using these equalities a relation is obtained between Jacobsthal and generalized Jacobsthal numbers.
Şükran Uygun
openalex +5 more sources
Hyperbolic Jacobsthal Spinor Sequences and Their Mathematical Properties [PDF]
Discrete Mathematics, Algorithms and ApplicationsIn this study, novel Hyperbolic spinor sequences of Jacobsthal, Jacobsthal–Lucas and Jacobsthal polynomial, which have not been studied before, are defined by investigating the relationship between spinors, which are important mathematical objects used in physics and mathematics, and split Jacobsthal and split Jacobsthal–Lucas quaternions, which are ...
Selime Beyza Özçevik, Abdullah Dertli
openalex +3 more sources