139 citations
- Lyon 1 UniversitéFR4 papers
- Massachusetts Institute of TechnologyUS4 papers
- Institut Camille JordanFR3 papers
- Institute of High Energy PhysicsCN3 papers
- China Center of Advanced Science and TechnologyCN2 papers
- Chinese Academy of SciencesCN2 papers
- East China Normal UniversityCN2 papers
- Howard UniversityUS2 papers
- Institute of Theoretical PhysicsCN2 papers
- Laboratoire d'Informatique Gaspard-MongeFR2 papers
- University of California, IrvineUS2 papers
- Beijing University of TechnologyCN1 paper
7 papers · 2 filters
Applicability of the -Analogue of Zeilberger's Algorithm
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
The applicability or terminating condition for the ordinary case of Zeilberger's algorithm was recently obtained by Abramov. For the -analogue, the question of whether a bivaria…
Old and young leaves on plane trees
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde
A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees with a given…
Transformations of Border Strips and Schur Function Determinants
William Y. C. Chen, Guo-Guang Yan, Arthur L. B. Yang
We introduce the notion of the cutting strip of an outside decomposition of a skew shape, and show that cutting strips are in one-to-one correspondence with outside decompositions…
Reduction of -Regular Noncrossing Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du
In this paper, we present a reduction algorithm which transforms -regular partitions of to -regular partitions of . We show that this algori…
Partition Analysis and Symmetrizing Operators
Amy M. Fu, Alain Lascoux
Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews and his coworkers. Our result…
The Number of Convex Polyominoes and the Generating Function of Jacobi Polynomials
Victor J. W. Guo, Jiang Zeng
Lin and Chang gave a generating function of convex polyominoes with an by minimal bounding rectangle. Gessel showed that their result implies that the number of such po…