18 citations · 67 across the 51 of their papers we have counts for
12 papers · 1 filter
A Unification of Two Refinements of Euler's Partition Theorem
William Y. C. Chen, Henry Y. Gao, Kathy Q. Ji +1
We obtain a unification of two refinements of Euler's partition theorem respectively due to Bessenrodt and Glaisher. A specialization of Bessenrodt's insertion algorithm for a gene…
Labeled Partitions with Colored Permutations
William Y. C. Chen, Henry Y. Gao, Jia He
In this paper, we extend the notion of labeled partitions with ordinary permutations to colored permutations in the sense that the colors are endowed with a cyclic structure. We us…
The q-Log-convexity of the Generating Functions of the Squares of Binomial Coefficients
William Y. C. Chen, Robert L. Tang, Larry X. W. Wang +1
We prove a conjecture of Liu and Wang on the q-log-convexity of the polynomial sequence . By using Pieri's rule and the Jacobi-Trudi id…
On the Combinatorics of the Boros-Moll Polynomials
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu
The Boros-Moll polynomials arise in the evaluation of a quartic integral. The original double summation formula does not imply the fact that the coefficients of these polynomials a…
Derangement Polynomials and Excedances of Type B
William Y. C. Chen, Robert L. Tang, Alina F. Y. Zhao
Adopting the definition of excedances of type B due to Brenti, we give a type B analogue of the q-derangement polynomials. The connection between q-derangement polynomials and Eule…
The Reverse Ultra Log-Concavity of the Boros-Moll Polynomials
William Y. C. Chen, Cindy C. Y. Gu
We prove the reverse ultra log-concavity of the Boros-Moll polynomials. We further establish an inequality which implies the log-concavity of the sequence for any $m…