Geodesic
Context-free grammars for several polynomials associated with Eulerian polynomials
Shi-Mei Ma1 ; Jun Ma2 ; Yeong-Nan Yeh3 ; Bao-Xuan Zhu4
1Northeastern University at Qinhuangdao
2Shanghai jiao tong university
3Academia Sinica
4Jiangsu Normal University
The electronic journal of combinatorics, Tome 25 (2018) no. 1
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In this paper, we present grammatical descriptions of several polynomials associated with Eulerian polynomials, including q-Eulerian polynomials, alternating run polynomials and derangement polynomials. As applications, we get several convolution formulas involving these polynomials.
DOI : 10.37236/6979
Classification : 68Q42, 05A05, 05A15, 11B68
Mots-clés : Eulerian polynomials, alternating runs, derangement polynomials, context-free grammars

Shi-Mei Ma  1   ; Jun Ma  2   ; Yeong-Nan Yeh  3   ; Bao-Xuan Zhu  4

1 Northeastern University at Qinhuangdao
2 Shanghai jiao tong university
3 Academia Sinica
4 Jiangsu Normal University 
@article{10_37236_6979,
     author = {Shi-Mei Ma and Jun Ma and Yeong-Nan Yeh and Bao-Xuan Zhu},
     title = {Context-free grammars for several polynomials associated with {Eulerian} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2018},
     volume = {25},
     number = {1},
     doi = {10.37236/6979},
     zbl = {1423.68236},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6979/}
}
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Shi-Mei Ma; Jun Ma; Yeong-Nan Yeh; Bao-Xuan Zhu. Context-free grammars for several polynomials associated with Eulerian polynomials. The electronic journal of combinatorics, Tome 25 (2018) no. 1. doi: 10.37236/6979

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