On dual hyperbolic numbers with generalized Jacobsthal numbers components
Yueksel Soykan, Erkan Tasdemir, Inci Okumus
article (Uluslararası, Hakemli) | Yazar(lar): Yueksel Soykan, Erkan Tasdemir, Inci Okumus | Yıl: 2023 | Dergi/Kurum: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | İndeks: WOS.SCI | DOI: 10.1007/s13226-022-00301-1 | Anahtar Kelimeler: Jacobsthal numbers, Jacobsthal-Lucas numbers, Dual hyperbolic numbers, Dual hyperboli
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesaro's, Melham's identities and present matrices related with these sequences.