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math.CO2012
On some generalized -Eulerian polynomials
Zhicong Lin
The -Eulerian polynomials are the $(\maj-$$\exc,\fix,\exc)$ enumerative polynomials of permutations. Using Shareshian and Wachs' exponential generating function of these Eul…
math.CO2012★ 10 cited
A symmetrical q-Eulerian identity
Guoniu Han, Zhicong Lin, Jiang Zeng
We find a -analog of the following symmetrical identity involving binomial coefficients and Eulerian numbers , due to Chung, Graham and Knuth [{\it J. Co…
math.CO2012★ 3 cited
Jacobi-Stirling polynomials and -partitions
Ira M. Gessel, Zhicong Lin, Jiang Zeng
We investigate the diagonal generating function of the Jacobi-Stirling numbers of the second kind $ \JS(n+k,n;z)$ by generalizing the analogous results for the Stirling and Legendr…