5 citations · 5 across the 3 of their papers we have counts for
5 papers
An Inequality for Coefficients of the Real-rooted Polynomials
J. J. F Guo
In this paper, we prove that if is a polynomial with real zeros only, then the sequence satisfies the following inequalities…
Overpartitions Identities Involving Gaps and Weights
Jeremy J. F. Guo, Doris D. M. Sang, Diane Y. H. Shi
In this paper, we find an identity which connects the overpartition function and the function of Rogers--Ramanujan--Gordon type overpartitions by considering the weights and gaps.…
Infinitely Log-monotonic Combinatorial Sequences
William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang
We introduce the notion of infinitely log-monotonic sequences. By establishing a connection between completely monotonic functions and infinitely log-monotonic sequences, we show t…
Zeta Functions and the Log-behavior of Combinatorial Sequences
William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang
In this paper, we use the Riemann zeta function and the Bessel zeta function to study the log-behavior of combinatorial sequences. We prove that is log-conve…
The Sorting Index and Permutation Codes
William Y. C. Chen, George Z. Gong, Jeremy J. F. Guo
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups,…