JOURNAL ARTICLE

One-parameter Darboux-deformed Fibonacci numbers.

  • Published In: Modern Physics Letters A, 2023, v. 38, n. 4. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Rosu, H. C.; Mancas, S. C. 3 of 3

Abstract

One-parameter Darboux deformations are established for the simple ordinary differential equation (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 (noninteger) numbers. Considering the same ODE as a parametric oscillator equation, the Ermakov–Lewis invariants for these sequences are also discussed. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Modern Physics Letters A. 2023/02, Vol. 38, Issue 4, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:0217-7323
  • DOI:10.1142/S0217732323500220
  • Accession Number:163950230
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