3 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
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 Probabilistic Two-Pile Game
Ho-Hon Leung, Thotsaporn "Aek'' Thanatipanonda
We consider a game with two piles, in which two players take turn to add or chips (, are not necessarily positive) randomly and independently to their respective pil…
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…