Huyile Liang

activity

20152023

most citedTotal positivity of Riordan arrays

66 citations · 160 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2023

Analytic aspects of generalized central trinomial coefficients

Huyile Liang, Yaling Wang, Yi Wang

The divisibility and congruence of usual and generalized central trinomial coefficients have been extensively investigated. The present paper is devoted to analytic properties of t…

math.CO2023★ 6 cited

Analytic combinatorics of coordination numbers of cubic lattices

Huyile Liang, Yanni Pei, Yi Wang

We investigate coordination numbers of the cubic lattices with emphases on their analytic behaviors, including the total positivity of the coordination matrices, the distribution o…

math.CO2017★ 2 cited

Stieltjes moment sequences of polynomials

Huyile Liang, Jeffrey Remmel, Sainan Zheng

A sequence $(a_{n})_{n \geq 0}$ is Stieltjes moment sequence if it has the form $a_{n} = \int_{0}^{\infty} x^{n} d μ (x)$ for $μ$ is a nonnegative measure on $[0, \infty)$ . It is known that $(a…

math.CO2016★ 54 cited

Total positivity of recursive matrices

Xi Chen, Huyile Liang, Yi Wang

Let $A = [a_{n, k}]_{n, k \geq 0}$ be an infinite lower triangular matrix defined by the recurrence $a_{0, 0} = 1, a_{n + 1, k} = r_{k} a_{n, k - 1} + s_{k} a_{n, k} + t_{k + 1} a_{n, k + 1},$ where $a_{…

math.CO2016★ 66 cited

Total positivity of Riordan arrays

Xi Chen, Huyile Liang, Yi Wang

We present sufficient conditions for total positivity of Riordan arrays. As applications we show that many well-known combinatorial triangles are totally positive and many famous c…

math.CO2015★ 32 cited

Catalan-like numbers and Stieltjes moment sequences

Huyile Liang, Lili Mu, Yi Wang

We provide sufficient conditions under which the Catalan-like numbers are Stieltjes moment sequences. As applications, we show that many well-known counting coefficients, including…