Dual Jacobsthal ve Dual Jacobsthal-Lucas Sedeniyonlar Üzerine

Yıl 2019, Cilt: 12 Sayı: 3, 1759 - 1766, 31.12.2019

Cennet Çimen

https://doi.org/10.18185/erzifbed.539189

Öz

Sedeniyonlar üzerinde birleşmeli ve değişmeli olmayan 16 boyutlu bir cebirdir. Bu çalışmanın temel amacı
bilinen Jacobsthal sayıları ile ilgili sedeniyon sayıların yeni bir sınıfını sunmaktır. Rekürans ilişkilerini içeren
sedeniyon sayıların bu sınıfı için; Binet formülleri, üreteç fonksiyonlar, üstel üreteç fonksiyonlar, poisson üreteç
fonksiyonlar gibi çeşitli sonuçlar elde edildi ve aynı zamanda bu sayıların Binet formülleri yardımıyla Cassini
özdeşliği, Catalan özdeşlikleri ve d’Ocagne’s özdeşliği sunuldu.

Anahtar Kelimeler

Sedeniyon sayılar, Jacobsthal sayılar, Dual sayılar

On the Dual Jacobsthal and Dual Jacobsthal-Lucas Sedenions

Öz

The sedenions form a 16-dimensional non-associative and non-commutative algebra over the set of . . The
main object of this paper is to present a systematic investigation of new classes of sedenion numbers associated
with the familiar Jacobsthal numbers. The various results obtained here for these classes of sedenion numbers
include recurrence relations, Binet formula, generating function, exponentinal generating functions, poisson
generating functions and also we presented the Cassini identity, Catalan’s identities and d’Ocagne’s identity by
their Binet forms

Anahtar Kelimeler

Sedenion numbers, Jacobsthal numbers, dual numbers

Kaynakça

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