On some identities for the DGC Leonardo sequence
dc.authorid | Saçlı (Şentürk), Gülsüm Yeliz/0000-0002-8647-1801 | |
dc.contributor.author | Yılmaz, Ciğdem Zeynep | |
dc.contributor.author | Saçlı, Gülsüm Yeliz | |
dc.date.accessioned | 2024-09-11T19:53:29Z | |
dc.date.available | 2024-09-11T19:53:29Z | |
dc.date.issued | 2024 | |
dc.department | İstanbul Gelişim Üniversitesi | en_US |
dc.description.abstract | In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for p is an element of R. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences. Secondly, we present some order-2 characteristic relations, involving d'Ocagne's, Catalan's, Cassini's, and Tagiuri's identities. The essential point of the paper is that one can reduce the calculations of the DGC Leonardo sequence by considering p. This generalization gives the dual-complex Leonardo sequence for p = -1, hyper-dual Leonardo sequence for p = 0, and dual-hyperbolic Leonardo sequence for p = 1. | en_US |
dc.description.sponsorship | TUBITAK BIDEB 2209-A University Students Research Projects Support Program 2022 1st Term (The Scientific and Technological Research Council of Turkey-Directorate of Science Fellowships and Grant Programmes) [1919B012203959] | en_US |
dc.description.sponsorship | This work has been supported by TUBITAK BIDEB 2209-A University Students Research Projects Support Program 2022 1st Term (The Scientific and Technological Research Council of Turkey-Directorate of Science Fellowships and Grant Programmes) under support number 1919B012203959. | en_US |
dc.identifier.doi | 10.7546/nntdm.2024.30.2.253-270 | |
dc.identifier.endpage | 270 | en_US |
dc.identifier.issn | 1310-5132 | |
dc.identifier.issn | 2367-8275 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopusquality | N/A | en_US |
dc.identifier.startpage | 253 | en_US |
dc.identifier.uri | https://doi.org/10.7546/nntdm.2024.30.2.253-270 | |
dc.identifier.uri | https://hdl.handle.net/11363/8143 | |
dc.identifier.volume | 30 | en_US |
dc.identifier.wos | WOS:001247880700004 | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Bulgarian Acad Science | en_US |
dc.relation.ispartof | Notes on Number Theory And Discrete Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.snmz | 20240903_G | en_US |
dc.subject | Binet's formula | en_US |
dc.subject | Leonardo numbers | en_US |
dc.subject | Dual -generalized complex numbers. | en_US |
dc.title | On some identities for the DGC Leonardo sequence | en_US |
dc.type | Article | en_US |
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