Abstract

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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.