Results 1 to 10 of about 20,060 (113)
Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials [PDF]
MathematicsBy drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
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The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions [PDF]
Axioms, 2023 In this paper, we find a formula for the largest integer (p-Frobenius number) such that a linear equation of non-negative integer coefficients composed of a Jacobsthal triplet has at most p representations.
Takao Komatsu, Claudio Pita-Ruiz
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Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal–Lucas Numbers [PDF]
Applied Mathematics and Computation, 2012 Let n\geq3 and J_{n}:=circ(J_{1},J_{2},...,J_{n}) and j_{n}:=\circ(j_{0},j_{1},...,j_{n-1}) be the n\timesn circulant matrices, associated with the nth Jacobsthal number J_{n} and the nth Jacobsthal-Lucas number j_{n}, respectively. The determinants of J_{n} and j_{n} are obtained in terms of the Jacobsthal and Jacobsthal-Lucas numbers.
Tin-Yau Tam, Durmus Bozkurt
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers [PDF]
Annales Mathematicae Silesianae, 2019 Abstract The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Anetta Szynal-Liana, Iwona Włoch
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Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
Mathematical and Computer Modelling, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gospava B. Djordjevic +1 more
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On the k-Jacobsthal-Lucas numbers by matrix methods
2015 International Conference on Science and Technology (TICST), 2015 In this paper, we define the k-Jacobsthal-Lucas A-matrix. By using this matrix representation, we obtain Cassini's formulas, Binet's formulas, and some identities for the k-Jacobsthal numbers and k-Jacobsthal-Lucas numbers.
Wanna Sriprad
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On Generalized Jacobsthal and Jacobsthal–Lucas Numbers
Annales Mathematicae Silesianae, 2022 Abstract 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.
Dorota Bród, Adrian Michalski
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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
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On r -Jacobsthal and r -Jacobsthal-Lucas Numbers
Annales Mathematicae Silesianae, 2023 Abstract 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 ...
Göksal Bilgici, Dorota Bród
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Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
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