On \((p,q)\)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums

DOI10.1007/S00006-016-0704-8zbMath1420.11036OpenAlexW2470521440MaRDI QIDQ2361390

Ahmet İpek

Publication date: 30 June 2017

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

Full work available at URL: https://hdl.handle.net/11492/2776

zbMATH Keywords

generating functionBinet formulaFibonacci quaternionbinomial sum

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Some results on Horadam quaternions ⋮ Some identities involving (p,q)-Fibonacci and Lucas quaternions ⋮ A note on hyperbolic (p,q)-Fibonacci quaternions ⋮ Generalized Pascal's triangles and associated \(k\)-Padovan-like sequences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An extension of Lucas identity via Pascal's triangle ⋮ Unnamed Item ⋮ On the Fibonacci quaternion sequence with quadruple-produce components ⋮ SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS

Cites Work

• On Pell quaternions and Pell-Lucas quaternions
• The Pell quaternions and the Pell octonions
• A note on Jacobsthal quaternions
• On a new generalization of Fibonacci quaternions
• A note on bi-periodic Fibonacci and Lucas quaternions
• Decomposition of some special functions with respect to the cyclic group of order \(n\) and applications.
• On Fibonacci quaternions
• On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions
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