The Log-Balancedness of Combinatorial Sequences
DOI:
https://doi.org/10.5644/SJM.11.2.01Keywords:
Log-concavity, log-convexity, log-balancedness, linear transformations, reverse ultra log-concavityAbstract
In this paper, we discuss the log-balancedness of combinatorial sequences. We consider operators on sequences that preserve the log-balancedness property. We also give a sufficient condition for the log-balancedness of the product of two sequences. As applications, we prove that some combinatorial sequences are log-balanced. In addition, we discuss the reverse ultra log-concavity of some sequences involving the log-balanced sequence.
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