Cassini determinant involving the $(a,b)$-hyper-Fibonacci numbers

Lyes Ait-Amrane 1 * and Djilali Behloul 2

doi:10.26637/MJM0803/0035

Cassini determinant involving the $(a,b)$-hyper-Fibonacci numbers

Authors :

Lyes Ait-Amrane ^{1 *}and Djilali Behloul²

Author Address :

¹ Ecole nationale Supérieure d’Informatique (ESI), BP 68M Oued Smar, 16270, El Harrach, Algiers, Algeria.
² Faculté d’Informatique,USTHB, BP 32, El Alia, 16111, Bab Ezzouar, Algiers, Algeria.
^1,2 LATN Laboratory, Faculty of Mathematics, USTHB, BP 32, El Alia, 16111, Bab Ezzouar, Algiers, Algeria.

*Corresponding author.

Abstract :

In the present paper, we establish some combinatorial properties of the $(a,b)$-hyper-Fibonacci numbers in order to extend the Cassini determinant.

Keywords :

Generalized Fibonacci numbers; Generalized hyper-Fibonacci numbers; Cassini determinant.

DOI :

10.26637/MJM0803/0035

Article Info :

Received : October 19, 2020; Accepted : June 22, 2020.