Generalized commutative quaternions of the Fibonacci type

DOI10.1007/s40590-021-00386-4zbMath1479.11040OpenAlexW3212993823MaRDI QIDQ825015

Iwona Włoch, Anetta Szynal-Liana

Publication date: 17 December 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00386-4

zbMATH Keywords

quaternionsFibonacci numbersgeneralized quaternionsHoradam numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Generalized commutative quaternion polynomials of the Fibonacci type ⋮ On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions

Cites Work

• Total graph interpretation of the numbers of the Fibonacci type
• Fibonacci generalized quaternions
• Commutative quaternion matrices
• Quaternion algebras and generalized Fibonacci-Lucas quaternions
• A Clifford algebra associated to generalized Fibonacci quaternions
• Algebraic properties of bihyperbolic numbers
• On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions
• Consimilarity of Commutative Quaternion Matrices
• Generalized quaternions and their algebraic properties
• On the set of zeros of bihyperbolic polynomials
• Universal similarity factorization equalities for commutative quaternions and their matrices
• Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications
• Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
• Complex Fibonacci Numbers and Fibonacci Quaternions
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