On Non-Newtonian Horadam Numbers
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.
Authors
- Hasan Gökbaş (ORCID: https://orcid.org/0000-0002-3323-8205)
Institutions
- Bitlis Eren University (TR)
Publication Details
- Journal
- Turkish Journal of Mathematics and Computer Science
- Published
- 2026-06-30
- DOI
- https://doi.org/10.47000/tjmcs.1606669
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00