Results 1 to 10 of about 145 (136)
Matrix Structure of Jacobsthal Numbers [PDF]
Journal of Function Spaces, 2021 The main scenario of this paper is to introduce a new sequence of Jacobsthal type having a generalized orderj. Some basic properties will be studied concerning it. Also, we will establish the generalized Binet formula.
Abdul Hamid Ganie, Mashael M. AlBaidani
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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 Bicomplex Jacobsthal-Lucas Numbers
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
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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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Jacobsthal numbers in generalised Petersen graphs [PDF]
Electronic Notes in Discrete Mathematics, 2015 AbstractWe prove that the number of 1‐factorizations of a generalized Petersen graph of the type is equal to the kth Jacobsthal number when k is odd, and equal to when k is even. Moreover, we verify the list coloring conjecture for .
Henning Brühn
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Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials
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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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 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
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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.
Szynal-Liana Anetta, Włoch Iwona
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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
Fügen Torunbalcı Aydın
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