Identities for third order Jacobsthal quaternions

DOI10.1007/s00006-016-0654-1zbMath1420.11032arXiv1706.08989OpenAlexW2963373519MaRDI QIDQ2361370

Gamaliel Cerda-Morales

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08989

zbMATH Keywords

recurrence relationquaternionJacobsthal numberthird order Jacobsthal number

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

On Generalized Tribonacci Sedenions ⋮ On bicomplex third-order Jacobsthal numbers ⋮ On the third-order Jacobsthal and third-order Jacobsthal-Lucas sequences and their matrix representations ⋮ On generalized Pentanacci quaternions ⋮ Some results on dual third-order Jacobsthal quaternions ⋮ On a generalization for Tribonacci quaternions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dual third-order Jacobsthal quaternions ⋮ On Tribonacci and Tribonacci-Lucas Quaternion Polynomials ⋮ A note on modified third-order Jacobsthal numbers ⋮ Gaussian third-order Jacobsthal and Gaussian third-order Jacobsthal–Lucas polynomials and their properties

Cites Work

• A note on Jacobsthal quaternions
• The combinatorial power of the companion matrix
• On Fibonacci quaternions
• On complex Fibonacci quaternions
• On $k$-Fibonacci sums by matrix methods
• Complex Fibonacci Numbers and Fibonacci Quaternions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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