On some identities for the DGC Leonardo sequence
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Dosyalar
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Bulgarian Acad Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Binet's formula, Leonardo numbers, Dual -generalized complex numbers.
Kaynak
Notes on Number Theory And Discrete Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
30
Sayı
2