17 citations · 35 across the 20 of their papers we have counts for
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Log-convex and Stieltjes moment sequences
Yi Wang, Bao-Xuan Zhu
We show that Stieltjes moment sequences are infinitely log-convex, which parallels a famous result that (finite) Pólya frequency sequences are infinitely log-concave. We introduce…
Context-free grammars for several polynomials associated with Eulerian polynomials
Shi-Mei Ma, Jun Ma, Yeong-Nan Yeh +1
In this paper, we present grammatical descriptions of several polynomials associated with Eulerian polynomials, including q-Eulerian polynomials, alternating run polynomials and de…
Hankel-type determinants for some combinatorial sequences
Bao-Xuan Zhu, Zhi-Wei Sun
In this paper we confirm several conjectures of Z.-W. Sun on Hankel-type determinants for some combinatorial sequences including Franel numbers, Domb numbers and Apéry numbers. For…
Linear transformations and strong -log-concavity for certain combinatorial triangle
Bao-Xuan Zhu
It is well-known that the binomial transformation preserves the log-concavity property and log-convexity property. Let be the binomial coefficients and $\binom{n…