JOURNAL ARTICLE
Unrestricted Tribonacci and Tribonacci–Lucas quaternions
Gonca KızılaslanLeyla Karabulut
Year: 2023 Journal: Notes on Number Theory and Discrete Mathematics Vol: 29 (2)Pages: 310-321
Abstract
We define a generalization of Tribonacci and Tribonacci–Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci–Lucas numbers coefficients, respectively. We get generating functions and Binet’s formulas for these quaternions. Furthermore, several sum formulas and a matrix representation are obtained.
Keywords:
Quaternion Generalization Mathematics Representation (politics) Mathematical analysis Geometry
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Topics
Advanced Mathematical Theories and Applications
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
Noncommutative and Quantum Gravity Theories
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
Quantum Mechanics and Non-Hermitian Physics
Physical Sciences → Physics and Astronomy → Atomic and Molecular Physics, and Optics
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