On some identities for the DGC Leonardo sequence

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Küçük Resim

Tarih

2024

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

Künye