Unrestricted Tribonacci and Tribonacci-Lucas quaternions

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Bulgarian Acad Science

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We define a generalization of Tribonacci and Tribonacci-Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci-Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions. Furthermore, several sum formulas and a matrix representation are obtained.

Açıklama

Anahtar Kelimeler

Quaternion; Recurrences; Integer sequences

Kaynak

Notes on Number Theory and Discrete Mathematics

WoS Q Değeri

Q4

Scopus Q Değeri

Cilt

29

Sayı

2

Künye