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Eulerian polynomials for multipermutations and signed multipermutations
Shi-Mei Ma, Jun Ma, Yeong-Nan Yeh
In this paper, we study Eulerian polynomials for permutations and signed permutations of the multiset . Properties of these polynomials, including recurrenc…
math.CO2019
The alternating run polynomials of permutations
Shi-Mei Ma, Jun Ma, Yeong-Nan Yeh
In this paper, we first consider a generalization of the David-Barton identity which relate the alternating run polynomials to Eulerian polynomials. By using context-free grammars,…