Year: 2026
Type: article
Abstract: In this paper, we give some properties of the non-Newtonian Horadam numbers, among others the Binet formula, generating function formula and the general bilinear index-reduction formula which implies d'Ocagne, Vajda, Halton, Catalan, Cassini, Ruggles and Honsberger identities. We also give the matrix representation and some sum formulas of the non-Newtonian Horadam numbers.
Author: Hasan Gökbaş
Institution: Bitlis Eren University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7166740428