328 citations
- Institute of High Energy PhysicsCN15 papers
- Peking UniversityCN10 papers
- Chinese Academy of SciencesCN9 papers
- University of Science and Technology of ChinaCN7 papers
- China Center of Advanced Science and TechnologyCN6 papers
- Henan Normal UniversityCN6 papers
- Sichuan UniversityCN6 papers
- Tsinghua UniversityCN6 papers
- Central China Normal UniversityCN5 papers
- Guangxi Normal UniversityCN5 papers
- Guangxi UniversityCN5 papers
- Hunan UniversityCN5 papers
17 papers · 2 filters
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…
Enumeration of bilaterally symmetric 3-noncrossing partitions
Guoce Xin, Terence Y. J. Zhang
Schutzenberger's theorem for the ordinary RSK correspondence naturally extends to Chen et. al's correspondence for matchings and partitions. Thus the counting of bilaterally symmet…
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…