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math.CO2018
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…
math.CO2018
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…
math.CO2018★ 1 cited
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…