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New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
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On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
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Gelin-Cesáro identities for Fibonacci and Lucas quaternions
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions.
Ahmet Daşdemir
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A Review on the Applications of Dual Quaternions
MachinesThis work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates in dual quaternions.
João Gutemberg Farias +2 more
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On quaternion applications in obtaining surfaces
4 open, 2019 In this paper, we survey the historical development of quaternions and give some recently studies and applications of quaternions of obtaining surfaces.
Keskin Özgür, Yaylı Yusuf
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QUATÉRNIONS E AS ROTAÇÕES NO ESPAÇO
Colloquium Exactarum, 2015 The Quaternions were created in 1843 by W. R. Hamilton and its use, although not much publicized, it is not new. Basically, quaternions can be seen as an algebraic extension of complex numbers, in which it has three imaginary components instead of one,
Amanda Santos Silva +2 more
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Dual quaternion representation of geometrical motion in 3D space
Discrete and Continuous Models and Applied Computational Science\emph {Background} In a previous article we discussed the use of dual quaternions for modeling points, lines and planes and solving standard geometric problems.
Olesya M. Abakumova +3 more
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DOA Estimation of Noncircular Signals Using Quaternions
International Journal of Antennas and Propagation, 2017 The two-dimensional (2D) direction-of-arrival (DOA) estimation problem for noncircular signals using quaternions is considered in this paper. In the framework of quaternions, we reconstruct the conjugate augmented output vector which reduces the ...
Tianzhen Meng, Minjie Wu, Naichang Yuan
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THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS
Проблемы анализа, 2018 This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions.
Kim J.E.
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On Dual Hyperbolic Narayana and Narayana-Lucas Hybrid Quaternions
Universal Journal of Mathematics and ApplicationsIn this present communication, we introduce the novel concepts of dual hyperbolic Narayana quaternions and dual hyperbolic Narayana-Lucas quaternions within the framework of hybrid numbers.
Pankaj Kumar, Shilpa Kapoor
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