(s, t) –Pell Fark Dizileri

Abstract

Bu çalışmada, fark bağıntısı kavramını (s,t)-Pell, (s,t)-Pell-Lucas ve modifiye (s,t)-Pell sayı dizilerine uygulayacağız. (s,t)-Pell, (s,t)-Pell-Lucas ve modifiye (s,t)-Pell dizilerinin i. fark dizilerinin herhangi bir elemanını (s,t)-Pell, (s,t)-Pell-Lucas ve modifiye (s,t)-Pell sayılarını kullanarak bulmak için formüller oluşturacağız. Ayrıca bu yeni fark dizilerinin elemanlarının toplam formülleri, üreteç fonksiyonları, Binet formülleri ve bazı cebirsel özelliklerini inceleyeceğiz.

Keywords

• Fark dizisi
• Pell dizisi
• Pell-Lucas dizisi

Some (s, t) –Pell difference sequences

Abstract

In this study, we apply the concept of difference relation to the sequences of the (s,t)-Pell, (s,t)-Pell-Lucas, and modified (s,t)-Pell numbers. We will obtain formulas to find any term of the i th element of the (s,t)-Pell, (s,t)-Pell-Lucas, and modified (s,t)-Pell difference sequence from the initial (s,t)-Pell, (s,t)-Pell-Lucas, and modified (s,t)-Pell numbers. We will also find formulas for the sum of the elements of these new sequences as well as their generating functions, Binet formulas and some algebraic properties.

Keywords

• Pell sequence
• Pell-Lucas sequence
• Modified Pell Sequence
• Difference sequence

References

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