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, E, DAĞLI, M, & BELKHIR, A (2023). Bi-periodic incomplete Horadam numbers. Turkish Journal of Mathematics 47 (2): 554-564. https://doi.org/10.55730/1300-0098.3378