Results 21 to 30 of about 369,263 (302)
Investigating generalized quaternions with dual-generalized complex numbers [PDF]
Mathematica Bohemica, 2023 We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses +2 more
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A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors
AIMS Mathematics, 2023 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.
Faik Babadağ
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Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials
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
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 Note on Generalized Hybrid Tribonacci Numbers
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
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Mathematics and Poetry • Unification, Unity, Union
Sci, 2020 We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry ...
Florin Felix Nichita
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De-Moivre and Euler Formulae for Dual-Complex Numbers
Universal Journal of Mathematics and Applications, 2019 In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
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On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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Congruences related to dual sequences and Catalan numbers [PDF]
European Journal of Combinatorics, 2022 12 ...
Michael X.X. Zhong, Rong-Hua Wang
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