2 citations · 4 across the 7 of their papers we have counts for
6 papers · 1 filter
Moments of q-Jacobi Polynomials and q-Zeta Values
Frédéric Chapoton, Christian Krattenthaler, Jiang Zeng
We explore some connections between moments of rescaled little q-Jacobi polynomials, q-analogues of values at negative integers for some Dirichlet series, and the q-Eulerian polyno…
Minor summation formula of hyperpfaffians and Selberg integrals
Masao Ishikawa, Jiang Zeng
In the previous paper (J. Combin. Theory Ser. A, 120, 2013, 1263--1284) H. Tagawa and the two authors proposed an algebraic method to compute certain Pfaffians whose form resemble…
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures
Bin Han, Jiang Zeng
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper Kitaev and Zhang examined the distribution of the aforeme…
More bijections for Entringer and Arnold families
Heesung Shin, Jiang Zeng
The Euler number (resp. Entringer number ) enumerates the alternating (down-up) permutations of (resp. starting with ). The Springer number …
Gap between the largest and smallest parts of partitions and Berkovich and Uncu's conjectures
Wenston J. T. Zang, Jiang Zeng
We prove three main conjectures of Berkovich and Uncu (Ann. Comb. 23 (2019) 263--284) on the inequalities between the numbers of partitions of with bounded gap between largest…
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions
Alan D. Sokal, Jiang Zeng
We find Stieltjes-type and Jacobi-type continued fractions for some "master polynomials" that enumerate permutations, set partitions or perfect matchings with a large (sometimes in…