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A Note on Moritoh Transforms.
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- Creative Mathematics & Informatics, 2024, v. 33, n. 2, p. 185, doi. 10.37193/CMI.2024.02.05
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Quaternionic Monge–Ampère Measure on Pluripolar Set.
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- Acta Mathematica Sinica, 2024, v. 40, n. 6, p. 1431, doi. 10.1007/s10114-024-2227-x
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Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method.
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- Computation, 2024, v. 12, n. 6, p. 127, doi. 10.3390/computation12060127
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Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 7, p. 6205, doi. 10.1002/mma.9916
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RiQ-KGC: Relation Instantiation Enhanced Quaternionic Attention for Complex-Relation Knowledge Graph Completion.
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- Applied Sciences (2076-3417), 2024, v. 14, n. 8, p. 3221, doi. 10.3390/app14083221
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3D RENDERING OF THE QUATERNION MANDELBROT SET WITH MEMORY.
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- Fractals, 2024, v. 32, n. 3, p. 1, doi. 10.1142/S0218348X24500610
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- Article
UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE SHORT TIME QUATERNION COUPLED FRACTIONAL FOURIER TRANSFORM.
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- Matematicki Vesnik, 2024, v. 76, n. 1, p. 84, doi. 10.57016/MV-XtlG4184
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Quaternionic slice regularity beyond slice domains.
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- Mathematische Zeitschrift, 2024, v. 306, n. 3, p. 1, doi. 10.1007/s00209-024-03434-7
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Two-Dimensional Quaternion Fourier Transform Method in Probability Modeling.
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- Symmetry (20738994), 2024, v. 16, n. 3, p. 257, doi. 10.3390/sym16030257
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Dual Quaternion Matrix Equation AXB = C with Applications.
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- Symmetry (20738994), 2024, v. 16, n. 3, p. 287, doi. 10.3390/sym16030287
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Quaternion Fractional Difference with Quaternionic Fractional Order and Applications to Fractional Difference Equation.
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- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2024, v. 32, n. 1, p. 271, doi. 10.2478/auom-2024-0015
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The L<sup>P</sup> -spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space.
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- Iraqi Journal of Science, 2024, v. 65, n. 1, p. 242, doi. 10.24996/ijs.2024.65.1.21
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- Article
The harmonic H∞-functional calculus based on the S-spectrum.
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- Journal of Spectral Theory, 2024, v. 14, n. 1, p. 121, doi. 10.4171/JST/492
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ON THE ZEROS OF POLYNOMIALS AND RELATED REGULAR FUNCTIONS OF A QUATERNIONIC VARIABLE.
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- Mathematical Inequalities & Applications, 2024, v. 27, n. 1, p. 219, doi. 10.7153/mia-2024-27-17
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Spherical Fourier transform on (4n + 3)-dimensional quaternionic Heisenberg group.
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- Palestine Journal of Mathematics, 2024, v. 13, n. 1, p. 1
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Reduced‐quaternion inframonogenic functions on the ball.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 18, p. 18935, doi. 10.1002/mma.9600
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An Efficient Pose Estimation Algorithm for Non-Cooperative Space Objects Based on Dual-Channel Transformer.
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- Remote Sensing, 2023, v. 15, n. 22, p. 5278, doi. 10.3390/rs15225278
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A Powerful Zero-Watermarking Algorithm for Copyright Protection of Color Images Based on Quaternion Radial Fractional Hahn Moments and Artificial Bee Colony Algorithm.
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- Circuits, Systems & Signal Processing, 2023, v. 42, n. 9, p. 5602, doi. 10.1007/s00034-023-02379-2
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Quaternion-based placement orientation trajectory smoothing method under the Domain of Admissible Orientation.
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- International Journal of Advanced Manufacturing Technology, 2023, v. 128, n. 1/2, p. 491, doi. 10.1007/s00170-023-11810-6
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Efficient iterative method for generalized Sylvester quaternion tensor equation.
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- Computational & Applied Mathematics, 2023, v. 42, n. 5, p. 1, doi. 10.1007/s40314-023-02374-y
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Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain.
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- Mathematics (2227-7390), 2023, v. 11, n. 13, p. 3002, doi. 10.3390/math11133002
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Smoothing method for unit quaternion time series in a classification problem: an application to motion data.
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- Scientific Reports, 2023, v. 13, n. 1, p. 1, doi. 10.1038/s41598-023-36480-y
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A Note on Location of the Zeros of Quaternionic Polynomials.
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- Armenian Journal of Mathematics, 2023, v. 15, n. 7, p. 1, doi. 10.52737/18291163-2023.15.7-1-12
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ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB.
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- Fractals, 2023, v. 31, n. 5, p. 1, doi. 10.1142/S0218348X23500627
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The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 8, p. 8478, doi. 10.1002/mma.8994
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Numerical algorithm for quaternion integration based on three independent parameters with no need for re-normalization.
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- Acta Mechanica, 2023, v. 234, n. 5, p. 2009, doi. 10.1007/s00707-023-03473-x
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Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting.
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- Analysis & Applications, 2023, v. 21, n. 3, p. 677, doi. 10.1142/S0219530522500191
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Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction.
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- Axioms (2075-1680), 2023, v. 12, n. 5, p. 483, doi. 10.3390/axioms12050483
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Quaternionic Fuzzy Sets.
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- Axioms (2075-1680), 2023, v. 12, n. 5, p. 490, doi. 10.3390/axioms12050490
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ON THE ZERO BOUNDS OF POLYNOMIALS AND REGULAR FUNCTIONS OF A QUATERNIONIC VARIABLE.
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- Applicable Analysis & Discrete Mathematics, 2023, v. 17, n. 1, p. 216, doi. 10.2298/AADM220905033M
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Robust dual color images watermarking scheme with hyperchaotic encryption based on quaternion DFrAT and genetic algorithm.
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- Optica Applicata, 2023, v. 53, n. 2, p. 261, doi. 10.37190/oa230208
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*-logarithm for slice regular functions.
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- Rendiconti Lincei -- Matematica e Applicazioni, 2023, v. 34, n. 2, p. 491, doi. 10.4171/RLM/1016
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One-Dimensional Quaternion Fourier Transform with Application to Probability Theory.
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- Symmetry (20738994), 2023, v. 15, n. 4, p. 815, doi. 10.3390/sym15040815
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基于四元数图神经网络的知识图谱嵌入.
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- Journal of Chongqing University of Posts & Telecommunications (Natural Science Edition), 2023, v. 35, n. 1, p. 119, doi. 10.3979/j.issn.1673-825X.202107290262
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ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS.
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- Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science, 2023, v. 65, n. 1, p. 129, doi. 10.31926/but.mif.2023.3.65.1.10
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On Quaternions with Higher Order Jacobsthal Numbers Components.
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- Gazi University Journal of Science, 2023, v. 36, n. 1, p. 336, doi. 10.35378/gujs.1002454
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Matrix Equation's Reflexive and Anti-Reflexive Solutions over Quaternions.
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- Symmetry (20738994), 2023, v. 15, n. 1, p. 40, doi. 10.3390/sym15010040
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Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AX= BY $$ and XF−AX˜=BY$$ XF-A\tilde{X}= BY $$.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 17, p. 10532, doi. 10.1002/mma.8381
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Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation.
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- Earth, Planets & Space, 2022, v. 74, n. 1, p. 1, doi. 10.1186/s40623-022-01731-1
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Quaternion to Euler angles conversion: A direct, general and computationally efficient method.
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- PLoS ONE, 2022, v. 17, n. 11, p. 1, doi. 10.1371/journal.pone.0276302
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ON THE POLYANALYTIC SHORT-TIME FOURIER TRANSFORM IN THE QUATERNIONIC SETTING.
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- Communications on Pure & Applied Analysis, 2022, v. 21, n. 11, p. 3629, doi. 10.3934/cpaa.2022117
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Slice conformality and Riemann manifolds on quaternions and octonions.
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- Mathematische Zeitschrift, 2022, v. 302, n. 2, p. 971, doi. 10.1007/s00209-022-03079-4
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S-Duality and the Universal Isometries of q-Map Spaces.
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- Communications in Mathematical Physics, 2022, v. 394, n. 2, p. 833, doi. 10.1007/s00220-022-04413-x
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基于四元数尺度函数的边缘检测方法.
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- Journal of Zhejiang University (Science Edition), 2022, v. 49, n. 5, p. 549, doi. 10.3785/j.issn.1008-9497.2022.05.005
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Slice regular functions in several variables.
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- Mathematische Zeitschrift, 2022, v. 302, n. 1, p. 295, doi. 10.1007/s00209-022-03066-9
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CHARACTERIZATIONS OF SOME SPECIAL QUATERNIONIC CURVES.
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- Facta Universitatis, Series: Mathematics & Informatics, 2022, v. 37, n. 4, p. 709, doi. 10.22190/FUMI220317049Y
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LOCAL COORDINATES FOR COMPLEX AND QUATERNIONIC HYPERBOLIC PAIRS.
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- Journal of the Australian Mathematical Society, 2022, v. 113, n. 1, p. 57, doi. 10.1017/S144678872100001X
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Quaternion Matrix Optimization: Motivation and Analysis.
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- Journal of Optimization Theory & Applications, 2022, v. 193, n. 1-3, p. 621, doi. 10.1007/s10957-021-01906-y
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A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation.
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- Symmetry (20738994), 2022, v. 14, n. 6, p. N.PAG, doi. 10.3390/sym14061120
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An Efficient Method for Split Quaternion Matrix Equation X − Af (X) B = C.
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- Symmetry (20738994), 2022, v. 14, n. 6, p. N.PAG, doi. 10.3390/sym14061158
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