Bi-periodic incomplete Horadam numbers

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Tan E., Daǧli M., Belkhir A.

Turkish Journal of Mathematics, vol.47, no.2, pp.554-564, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3378
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.554-564
  • Keywords: bi-periodic Horadam sequence, bi-periodic incomplete Horadam sequence, Fibonacci sequence, Horadam sequence
  • Ankara University Affiliated: Yes

Abstract

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.