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
Schur Positivity and the -Log-convexity of the Narayana Polynomials
William Y. C. Chen, Larry X. W. Wang, Arthur L. B. Yang
Using Schur positivity and the principal specialization of Schur functions, we provide a proof of a recent conjecture of Liu and Wang on the -log-convexity of the Narayana polyn…
math.CO2007
The Limiting Distribution of the Coefficients of the -Catalan Numbers
William Y. C. Chen, Carol J. Wang, Larry X. W. Wang
We show that the limiting distributions of the coefficients of the -Catalan numbers and the generalized -Catalan numbers are normal. Despite the fact that these coefficients…