New Approach to Pell and Pell-Lucas Sequences
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kyungpook Natl Univ, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations p(n) = 2ap(n-1) + (b - a(2))p(n-2) and q(n) = 2aq(n-1) + (b - a(2))q(n-2) with initial conditions p(0) = 0, p(1) = 1, and q(0) = 2, q(1) = 2a, respectively. We give generating functions and Binet's formulas for these sequences. Also, we obtain some identities of these sequences.
Açıklama
Anahtar Kelimeler
Pell Sequence, Pell-Lucas Sequence
Kaynak
Kyungpook Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
59
Sayı
1
