One-parameter Darboux-deformed Fibonacci numbers
نویسندگان
چکیده
One-parameter Darboux deformations are established for the simple ordinary differential equation (ODE) satisfied by continuous generalizations of Fibonacci sequence recently discussed Faraoni and Atieh [Symmetry 13, 200 (2021)], who promoted a formal analogy with Friedmann in FLRW homogeneous cosmology. The method allows introduction sequences, hence Darboux-deformed (noninteger) numbers. Considering same ODE as parametric oscillator equation, Ermakov–Lewis invariants these sequences also discussed.
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2023
ISSN: ['1793-6632', '0217-7323']
DOI: https://doi.org/10.1142/s0217732323500220