Some higher-order identities for generalized bi-periodic Horadam sequences

Leung H., TAN E.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.5, ss.1687-1700, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1905-62
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1687-1700
  • Anahtar Kelimeler: Horadam sequence, generalized Fibonacci sequence, generalized Lucas sequence, congruence, FIBONACCI
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we derive higher-order identities for the generalized bi-periodic Horadam sequences. Some of our results generalize the identities for the classical Fibonacci sequences and Horadam sequences obtained by Hoggatt, Horadam and Waddill. As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.