Bi-periodic incomplete Horadam numbers

Authors

ELİF TAN
MEHMET DAĞLI
AMINE BELKHIR

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.

DOI

10.55730/1300-0098.3378

Keywords

Fibonacci sequence, Horadam sequence, bi-periodic Horadam sequence, bi-periodic incomplete Horadam sequence

First Page

554

Last Page

564

Recommended Citation

TAN, ELİF; DAĞLI, MEHMET; and BELKHIR, AMINE (2023) "Bi-periodic incomplete Horadam numbers," Turkish Journal of Mathematics: Vol. 47: No. 2, Article 10. https://doi.org/10.55730/1300-0098.3378
Available at: https://journals.tubitak.gov.tr/math/vol47/iss2/10