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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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Third-Order Optical Nonlinearities of 2D Materials at Telecommunications Wavelengths [PDF]
Micromachines (Basel), 2023 All-optical signal processing based on nonlinear optical devices is promising for ultrafast information processing in optical communication systems.
L. Jia +5 more
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On the Third-Order Jacobsthal and Third-Order Jacobsthal–Lucas Sequences and Their Matrix Representations [PDF]
Mediterranean Journal of Mathematics, 2019 In this paper, we first give new generalizations for third-order Jacobsthal $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and third-order Jacobsthal-Lucas $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$ sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$
Gamaliel Cerda-Morales
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Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials
Universal Journal of Mathematics and ApplicationsIn this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations ...
Gamaliel Morales
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Optimisation of a Third Order System [PDF]
Measurement + Control, 1971 A general algebraic method of optimising a third order system is presented. The method consists of extending Pontryagin's Maximum Principle to the infinite interval case and reducing the characteristic two point boundary value problem to that of the ...
L. H. Lees
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Berry connection polarizability tensor and third-order Hall effect [PDF]
Physical review B, 2021 One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the linear and ...
Huiying Liu +8 more
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Dilepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD. [PDF]
Physical Review Letters, 2021 We compute for the first time the lepton-pair rapidity distribution in the photon-mediated Drell-Yan process to next-to-next-to-next-to-leading order in QCD.
Xuan Chen +5 more
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The third order scalar induced gravitational waves [PDF]
Journal of Cosmology and Astroparticle Physics, 2021 Since the gravitational waves were detected by LIGO and Virgo, it has been promising that lots of information about the primordial Universe could be learned by further observations on stochastic gravitational waves background.
Jinghua Zhou +3 more
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On third order rotatability [PDF]
Metrika, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Draper, Norman R, Pukelsheim, Friedrich
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Third order corrections to the semileptonic b→c and the muon decays [PDF]
Physical Review D, 2020 We compute corrections of order $\alpha_s^3$ to the decay $b \to c \ell \bar\nu$ taking into account massive charm quarks. In the on-shell scheme large three-loop corrections are found.
M. Fael, K. Schönwald, M. Steinhauser
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