A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Mathematical Sciences-Aims

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented. In addition, a new dual vector called the dual Jacobsthal vector is presented. Some properties of this vector apply to various properties of geometry which are not generally known in the geometry of dual space. Finally, this study introduces the dual Jacobsthal and the dual Jacobsthal-Lucas numbers with coefficients of dual numbers. Some fundamental identities are demonstrated, such as the generating function, the Binet formulas, the Cassini's, Catalan's and d'Ocagne identities for these numbers.

Açıklama

Anahtar Kelimeler

recurrences; integer sequences; dual number; dual angle; dual Jacobsthal numbers

Kaynak

Aims Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

8

Sayı

8

Künye