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math.NT2019
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…
math.NT2019★ 3 cited
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…
math.NT2019
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…