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We present a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, theâ€¦ (More)

We present an adaptation of jeu de taquin and promotion for arbitrary fillings of moon polyominoes. Using this construction we show various symmetry properties of such fillings taking into accountâ€¦ (More)

We prove a conjecture of Liu and Wang on the q-log-convexity of the Narayana polynomials of type B. By using Pieriâ€™s rule and the JacobiTrudi identity for Schur functions, we obtain an expansion of aâ€¦ (More)

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 for a given skewâ€¦ (More)

We prove two recent conjectures of Liu and Wang by establishing the strong q-log-convexity of the Narayana polynomials, and showing that the Narayana transformation preserves log-convexity. We beginâ€¦ (More)

- William Y. C. Chen, Ira M. Gessel, Catherine H. Yan, Arthur L. B. Yang
- J. Comb. Theory, Ser. A
- 2008

We introduce a statistic pmaj(P ) for partitions of [n], and show that it is equidistributed as cr2, the number of 2-crossings over all partitions of [n] with given sets of minimal block elements andâ€¦ (More)

- William Y. C. Chen, Svetlana Poznanovic, Catherine H. Yan, Arthur L. B. Yang
- J. Comb. Theory, Ser. A
- 2010

We propose a major index statistic on 01-fillings of moon polyominoes which, when specialized to certain shapes, reduces to the major index for permutations and set partitions. We consider the setâ€¦ (More)

- William Y. C. Chen, Arthur L. B. Yang, Elaine L. F. Zhou
- Electr. J. Comb.
- 2010

The ratio monotonicity of a polynomial is a stronger property than log-concavity. Let P (x) be a polynomial with nonnegative and nondecreasing coefficients. We prove the ratio monotone property of Pâ€¦ (More)

We prove two conjectures of BrÃ¤ndÃ©n on the real-rootedness of the polynomials Qn(x) and Rn(x) which are related to the Boros-Moll polynomials Pn(x). In fact, we show that both Qn(x) and Rn(x) formâ€¦ (More)

- William Y. C. Chen, Guo-Guang Yan, Arthur L. B. Yang
- Eur. J. Comb.
- 2004

We obtain a tableau definition of the skew Schubert polynomials named by Lascoux, which are defined as flagged double skew Schur functions. These polynomials are in fact Schubert polynomials in twoâ€¦ (More)