A study on dual generalized Fibonacci matrices
Melih Gocen, Can Murat Dikmen, Y. Kaya, Yueksel Soykan
article (Uluslararası, Hakemli) | Yazar(lar): Melih Gocen, Can Murat Dikmen, Y. Kaya, Yueksel Soykan | Yıl: 2025 | Dergi/Kurum: FILOMAT | İndeks: WOS.SCI | DOI: 10.2298/fil2501041g | Anahtar Kelimeler: . dual numbers, dual matrices, dual Fibonacci matrices, Fibonacci numbers, Lucas numbers, Cassini identity — Özet: In
In this paper, we introduce the dual generalized Fibonacci matrices. As special cases, we deal with dual Fibonacci and dual Lucas matrices. We present Binet's formulas, generating functions and the summation formulas for these matrices. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesa`ro's, Melham's identities and present matrices related with these sequences.