3 citations · 6 across the 9 of their papers we have counts for
5 papers · 1 filter
On a new generalization of Fibonacci hybrid numbers
Elif Tan, N. Rosa Ait-Amrane
The hybrid numbers were introduced by Ozdemir [9] as a new generalization of complex, dual, and hyperbolic numbers. A hybrid number is defined by , where ar…
On Horadam quaternions by using matrix method
Elif Tan, Ho-Hon Leung
In this paper, we give several matrix representations for the Horadam quaternions. We derive several identities related to these quaternions by using the matrix method. Since quate…
Some basic properties of the generalized bi-periodic Fibonacci and Lucas sequences
Elif Tan, Ho-hon Leung
In this paper, we consider a generalization of Horadam sequence fwng which is defined by the recurrence relation wn = x(n)wn-1+ cwn-2; where x(n) = a if n is even, x(n) = b if n is…
A note on congruence properties of the generalized bi-periodic Horadam sequence
Elif Tan, Ho-Hon Leung
In this paper, we consider a generalization of Horadam sequence {w_n} which is defined by the recurrence w_n = aw_n-1 + cw_n-2; if n is even, w_n = bw_n-1 + cw_n-2; if n is odd wit…
The generalized bi-periodic Fibonacci quaternions and octonions
Elif Tan, Murat Şahin, Semih Yılmaz
In this paper, we present a further generalization of the bi- periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic prope…