On k-periodic binary recurrences
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
E K F Liceum Kiado
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We apply a new approach, namely the fundamental theorem of homogeneous linear recursive sequences, to k-periodic binary recurrences which allows us to determine Binet's formula of the sequence if k is given. The method is illustrated in the cases k = 2 and k = 3 for arbitrary parameters. Thus we generalize and complete the results of Edson-Yayenie, and Yayenie linked to k = 2 hence they gave restrictions either on the coefficients or on the initial values. At the end of the paper we solve completely the constant sequence problem of 2-periodic sequences posed by Yayenie.
Açıklama
Anahtar Kelimeler
linear recurrences, k-periodic binary recurrences
Kaynak
Annales Mathematicae Et Informaticae
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
40
