Geodesic
Unimodality problems of multinomial coefficients and symmetric functions
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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In this note we consider unimodality problems of sequences of multinomial coefficients and symmetric functions. The results presented here generalize our early results for binomial coefficients. We also give an answer to a question of Sagan about strong $q$-log-concavity of certain sequences of symmetric functions, which can unify many known results for $q$-binomial coefficients and $q$-Stirling numbers of two kinds.
DOI : 10.37236/560
Classification : 05A10, 05A20
Mots-clés : unimodality, log-concavity, log-convexity, \(q\)-concavity, strong \(q\)-log-concavity, multinomial coefficients, symmetric functions 
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     author = {Xun-Tuan Su and Yi Wang and Yeong-Nan Yeh},
     title = {Unimodality problems of multinomial coefficients and symmetric functions},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/560},
     zbl = {1217.05019},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/560/}
}
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Xun-Tuan Su; Yi Wang; Yeong-Nan Yeh. Unimodality problems of multinomial coefficients and symmetric functions. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/560

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