13 citations · 36 across the 31 of their papers we have counts for
4 papers · 1 filter
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…
Stability of combinatorial polynomials and its applications
Ming-Jian Ding, Bao-Xuan Zhu
The aim of this paper is to make a systematical study on the stability of polynomials in combinatorics. Applying the characterizations of Borcea and Brändén concerning linear opera…