Results 11 to 20 of about 1,240,504 (163)
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
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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 order j. 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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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
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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
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New families of Jacobsthal and Jacobsthal-Lucas numbers [PDF]
, 2015 In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.
Campos, Helena +4 more
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On Bicomplex Jacobsthal Numbers
Communications in Mathematics and Applications, 2021 In this article, bicomplex Jacobsthal and bicomplex Jacobsthal-Lucas numbers are introduced and some properties related to them are investigated.
Kilic, NAYİL
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On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers
Journal of Discrete Mathematical Sciences and Cryptography, 2021 In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-J...
Nayil Kilic, KILIÇ, Nayil
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Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2021 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the ...
Cerda-Morales Gamaliel
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers [PDF]
Annales Mathematicae Silesianae, 2019 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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A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors [PDF]
AIMS Mathematics, 2023 <abstract><p>This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented. In addition, a new dual vector called the dual Jacobsthal vector is presented. Some properties of this vector apply to various
Faik Babadağ, Babadağ, Faik
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