Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
12-5-2022
Abstract/Description
One-parameter Darboux deformations are effected for the simple ODE satisfied by the continuous generalizations of the Fibonacci sequence recently discussed by Faraoni and Atieh [Symmetry 13, 200 (2021)], who promoted a formal analogy with the Friedmann equation in the FLRW homogeneous cosmology. The method allows the introduction of deformations of the continuous Fibonacci sequences, hence of Darboux-deformed Fibonacci (non integer) numbers. Considering the same ODE as a parametric oscillator equation, the Ermakov-Lewis invariants for these sequences are also discussed.
Publication Title
Advances in Difference Equations
DOI
https://doi.org/10.48550/arXiv.2212.12336
Publisher
Cornell University
Scholarly Commons Citation
Mancas, S. C., & Rosu, H. C. (2022). One-Parameter Darboux-Deformed Fibonacci Numbers. Advances in Difference Equations, (). https://doi.org/10.48550/arXiv.2212.12336
