Bi-periodic incomplete Horadam numbers

Authors

ELİF TAN
MEHMET DAĞLI
AMINE BELKHIR

DOI

10.55730/1300-0098.3378

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.

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