(s, t)-PELL VE (s, t)-PELL-LUCAS MATRİS DİZİLERİ ÜZERİNE

Abstract

Number sequence matrices is a widely studied subject in matrix analysis. Especially number sequence matrices whose entries are well-known number sequences have become a very interesting research subject in recent years. We have seen many studies on the different number sequences in the last years. Fibonacci and Lucas number sequences are the best of these number sequences. In this sequences each term is the sum of two previous terms, with initial values F00, F1 and L2, L respectively. In Pell and Pell-Lucas number 0 1F 1L sequences, nth term of the sequence is equal to the sum of n-2 th term and two times n-1 th term. In literature, many proporties belong to number and matrix sequences constructed by recursion relations like these sequences. In this study, we present some important relationships between s, t -Pell and s, t -Pell-Lucas matrix sequences. Some identities for s, t -Pell and s, t -Pell-Lucas sequences are obtained by using these matrix sequences. Furthermore, we give the Binet Formulas for nth s, t -Pell and s, t -Pell-Lucas sequences. And in this formulas we will determine some relations between s, t -Pell and s, t -Pell-Lucas sequences