Two-parameter generalization of bihyperbolic Jacobsthal numbers

DOI10.22199/ISSN.0717-6279-4071zbMath1498.11052OpenAlexW4281947074MaRDI QIDQ5086732

Dorota Bród, Anetta Szynal-Liana, Iwona Włoch

Publication date: 7 July 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4071

zbMATH Keywords

generating functionsrecurrence relationsJacobsthal numbersbihyperbolic numbersbihyperbolic Jacobsthal numbers

Mathematics Subject Classification ID

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

Cites Work

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• A note on Jacobsthal quaternions
• On \(J(r,n)\)-Jacobsthal quaternions
• On Jacobsthal and Jacobsthal-Lucas hybrid numbers
• Algebraic properties of bihyperbolic numbers
• On the set of zeros of bihyperbolic polynomials
• On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
• The Horadam hybrid numbers
• On a new generalization of Jacobsthal quaternions and several identities involving these numbers
• On some identities for k-Jacobsthal numbers

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