Dual Jacobsthal ve Dual Jacobsthal-Lucas Sedeniyonlar Üzerine

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

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

Keywords:

Sedenion numbers, Jacobsthal numbers, dual numbers,

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