114 citations · 117 across the 7 of their papers we have counts for
8 papers
Lorentzian polynomials and log-concavity of the independence polynomials of graphs
Lily Li Liu, Hongyue Tang
In this paper, we first construct two graphs and . Then we introduce the graph and the operator $E_{\mathcal…
Analytic properties of sextet polynomials of hexagonal systems
Guanru Li, Lily Li Liu, Yi Wang
In this paper we investigate analytic properties of sextet polynomials of hexagonal systems. For the pyrene chains, we show that zeros of the sextet polynomials are real,…
Inertia indices and eigenvalue inequalities for Hermitian matrices
Sai-Nan Zheng, Xi Chen, Lily Li Liu +1
We present a characterization of eigenvalue inequalities between two Hermitian matrices by means of inertia indices. As applications, we deal with some classical eigenvalue inequal…
Summation formulas involving harmonic numbers with even or odd indexes
Chuanan Wei, Dianxuan Gong, Lily Li Liu
By means of the derivative operator and Chu-Vandermonde convolution, four families of summation formulas involving harmonic numbers with even or odd indexes are established.
Summation formulas for Fox-Wright function
Chuanan Wei, Lily Li Liu, Dianxuan Gong
By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored. They give some new hypergeometric seri…
Strong q-log-convexity of the Eulerian polynomials of Coxeter groups
Lily Li Liu, Bao-Xuan Zhu
In this paper we prove the strong -log-convexity of the Eulerian polynomials of Coxeter groups using their exponential generating functions. Our proof is based on the theory of…
On the log-convexity of combinatorial sequences
Li Liu, Yi Wang
This paper is devoted to the study of the log-convexity of combinatorial sequences. We show that the log-convexity is preserved under componentwise sum, under binomial convolution,…
A unified approach to polynomial sequences with only real zeros
Lily L. Liu, Yi Wang
We give new sufficient conditions for a sequence of polynomials to have only real zeros based on the method of interlacing zeros. As applications we derive several well-known facts…