81 citations · 484 across the 73 of their papers we have counts for
74 papers
Real-rootedness of the type A minuscule polynomials
Ming-Jian Ding, Jiang Zeng
We prove two recent conjectures of Bourn and Erickson (2023) regarding the real-rootedness of a certain family of polynomials as well as the sum of their coefficients. The…
Proof of an explicit formula for a series from Ramanujan's Notebooks via tree functions
Ming-Jian Ding, Jiang Zeng
We prove a recent conjecture, due to Vigren and Dieckmann, about an explicit triple sum formula for a series from Ramanujan's Notebooks. We shall give two proofs: the first one is…
Some identities involving -Stirling numbers of the second kind in type B
Ming-Jian Ding, Jiang Zeng
The recent interest in -Stirling numbers of the second kind in type B prompted us to give a type B analogue of a classical identity connecting the -Stirling numbers of the se…
Moments of Orthogonal Polynomials and Exponential Generating Functions
Ira M. Gessel, Jiang Zeng
Starting from the moment sequences of classical orthogonal polynomials we derive the orthogonality purely algebraically. We consider also the moments of () classical orthogona…
-Catalan numbers: gamma expansions, pattern avoidance and the -phenomenon
Shishuo Fu, Dazhao Tang, Bin Han +1
The aim of this paper is two-fold. We first prove several new interpretations of a kind of -Catalan numbers along with their corresponding -expansions using pattern avoid…
A -Clausen-Orr type formula and its applications
Hong-Fang Guo, Victor J. W. Guo, Jiang Zeng
We show that certain terminating series can be factorized into a product of two series. As applications we prove a summation formula for a product of two -…