(s, t) –Pell Fark Dizileri

Year 2024, Volume: 13 Issue: 3, 112 - 122, 31.12.2024

Şükran Uygun , Ozan Haklıdır , Ugur Aslan

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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