2 citations · 7 across the 6 of their papers we have counts for
7 papers
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…
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…
Branden's Conjectures on the Boros-Moll Polynomials
William Y. C. Chen, Donna Q. J. Dou, Arthur L. B. Yang
We prove two conjectures of Brändén on the real-rootedness of polynomials and which are related to the Boros-Moll polynomials . In fact, we show that both…
On the Modes of Polynomials Derived from Nondecreasing Sequences
Donna Q. J. Dou, Arthur L. B. Yang
Wang and Yeh proved that if is a polynomial with nonnegative and nondecreasing coefficients, then is unimodal for any . A mode of a unimodal polynomial $f(x)=a…
A hive model determination of multiplicity-free Schur function products and skew Schur functions
Donna Q. J. Dou, Robert L. Tang, Ronald C. King
The hive model is a combinatorial device that may be used to determine Littlewood-Richardson coefficients and study their properties. It represents an alternative to the use of the…
A Reflection Principle for Three Vicious Walkers
William Y. C. Chen, Donna Q. J. Dou, Terence Y. J. Zhang
We establish a reflection principle for three lattice walkers and use this principle to reduce the enumeration of the configurations of three vicious walkers to that of configurati…