3 citations · 11 across the 11 of their papers we have counts for
14 papers
Numerical computing in engineering mathematics
Firuz Kamalov, Ho-Hon Leung
The rapid advances in technology over the last decade have significantly altered the nature of engineering knowledge and skills required in the modern industries. In response to th…
Game of Pure Chance with Restricted Boundary
Ho-Hon Leung, Thotsaporn "Aek'' Thanatipanonda
We consider various probabilistic games with piles for one player or two players. In each round of the game, a player randomly chooses to add or chips to his pile under the…
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…
A remark on commutative subalgebras of Grassmann algebra
Ho-Hon Leung
Let and . We show that there exists maximal commutative subalgebras (with respect to inclusion) of dimension less that .
On a generalization of the Pentagonal Number Theorem
Ho-Hon Leung
We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolutio…
Determinants containing powers of polynomial sequences
Ho-Hon Leung
We derive identities for the determinants of matrices whose entries are (rising) powers of (products of) polynomials that satisfy a recurrence relation. In particular, these result…
Maximal commutative subalgebras of a Grassmann algebra
Victor A. Bovdi, Ho-Hon Leung
We investigate the structure of maximal commutative subalgebras of the finite dimensional Grassmann algebra over a field of characteristic different from two.
Another Identity for Complete Bell Polynomials based on Ramanujan's Congruences
Ho-Hon Leung
Let be the number of partition of a positive integer . We derive a new identity for complete Bell polynomials based on a generating function of given by Ramanuj…
Derivations on four dimensional genetic Volterra algebra
Ho-Hon Leung
In this paper, we describe all derivations on four dimensional genetic Volterra algebras. We show that any local derivation is a derivation of the algebra. It is a positive answer…
Divided difference operators in equivariant -theory
Ho-Hon Leung
Let be a compact connected Lie group with a maximal torus . Let , be --algebras. We define certain divided difference operators on Kasparov's -…
K-theory of weight varieties
Ho-Hon Leung
Let be a compact torus and a Hamiltonian -space. We give a new proof of the -theoretic analogue of the Kirwan surjectivity theorem in symplectic geometry by using…