3 papers
math.CO2008
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…
math.CO2008
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…
math.CO2008
The srank Conjecture on Schur's -Functions
William Y. C. Chen, Donna Q. J. Dou, Robert L. Tang +1
We show that the shifted rank, or srank, of any partition with distinct parts equals the lowest degree of the terms appearing in the expansion of Schur's function in term…