Bi-periodic incomplete Horadam numbers

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Tan E., Daǧli M., Belkhir A.

Turkish Journal of Mathematics, cilt.47, sa.2, ss.554-564, 2023 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3378
  • 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.554-564
  • Anahtar Kelimeler: bi-periodic Horadam sequence, bi-periodic incomplete Horadam sequence, Fibonacci sequence, Horadam sequence
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce bi-periodic incomplete Horadam numbers as a natural generalization of incomplete Horadam numbers. We study their basic properties and provide recurrence relations. In particular, we derive the generating function of these numbers.