13 citations · 36 across the 31 of their papers we have counts for
5 papers · 1 filter
On a conjecture of transposed Poisson -Lie algebras
Junyuan Huang, Xueqing Chen, Zhiqi Chen +1
In this paper, we obtain a rich family of identities for transposed Poisson -Lie algebras, and then prove the conjecture of Bai, Bai, Guo and Wu in \cite{BBGW} under certain str…
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…
A generalized quantum cluster algebra of Kronecker type
Liqian Bai, Xueqing Chen, Ming Ding +1
The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant $\mathbb{Z}[q^{\pm\frac{…