3 citations · 11 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…