Geodesic
Some sufficient conditions for the log-balancedness of combinatorial sequences
Journal of integer sequences, Tome 19 (2016) no. 6.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we give some new sufficient conditions for log-balancedness of combinatorial sequences. In particular, we show that the product of two log-convex sequences is log-balanced under a mild condition. Then, we apply this result to a series of special combinatorial sequences. In addition, we show some results by using the definition of log-balancedness directly.
Classification : 05A20, 11B37, 11B39
Keywords: log-convexity, log-concavity, log-balancedness 
@article{JIS_2016__19_6_a3,
     author = {Zhang, Ting-Ting and Zhao, Feng-Zhen},
     title = {Some sufficient conditions for the log-balancedness of combinatorial sequences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {6},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a3/}
}
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Zhang, Ting-Ting; Zhao, Feng-Zhen. Some sufficient conditions for the log-balancedness of combinatorial sequences. Journal of integer sequences, Tome 19 (2016) no. 6. http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a3/