17 citations · 35 across the 20 of their papers we have counts for
4 papers · 1 filter
On a Stirling-Whitney-Riordan triangle
Bao-Xuan Zhu
Based on the Stirling triangle of the second kind, the Whitney triangle of the second kind and one triangle of Riordan, we study a Stirling-Whitney-Riordan triangle $[T_{n,k}]_{n,k…
A unified approach to combinatorial triangles: a generalized Eulerian polynomial
Bao-Xuan Zhu
Motivated by the classical Eulerian number, descent and excedance numbers in the hyperoctahedral groups, an triangular array from staircase tableaux and so on, we study a triangula…
Stieltjes moment properties and continued fractions from combinatorial triangles
Bao-Xuan Zhu
Many combinatorial numbers can be placed in the following generalized triangular array satisfying the recurrence relation: \begin{equation*} T_{n,k}=λ(a_0n+a…
Total positivity from the exponential Riordan arrays
Bao-Xuan Zhu
Log-concavity and almost log-convexity of the cycle index polynomials were proved by Bender and Canfield [J. Combin. Theory Ser. A 74 (1996)]. Schirmacher [J. Combin. Theory Ser. A…