2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2013★ 2 cited
On the -log-convexity conjecture of Sun
Donna Q. J. Dou, Anne X. Y. Ren
In his study of Ramanujan-Sato type series for , Sun introduced a sequence of polynomials as given by $$S_n(q)=\sum\limits_{k=0}^n{n\choose k}{2k\choose k}{2(n-k)\cho…
math.CO2013★ 2 cited
The -log-convexity of Domb's polynomials
Donna Q. J. Dou, Anne X. Y. Ren
In this paper, we prove the -log-convexity of Domb's polynomials, which was conjectured by Sun in the study of Ramanujan-Sato type series for powers of . As a result, we obta…
math.CO2012
Proof of Lassalle's Positivity Conjecture on Schur Functions
William Y. C. Chen, Anne X. Y. Ren, Arthur L. B. Yang
In the study of Zeilberger's conjecture on an integer sequence related to the Catalan numbers, Lassalle proposed the following conjecture. Let denote the rising factorial,…