Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
A New Sufficient Condition for Log-Balancedness of Sequences
By : Feng-Zhen Zhao
Page No: 361-374
Abstract:
In this paper, we discuss log-balancedness of sequences. For a positive number m and a log-convex sequence {zn}n³0, we give a new sufficient condition for log-balancedness of { } 0 m . n n z ? As applications, we derive the log-balancedness of a number of sequences related to many famous combinatorial numbers such as Catalan numbers, Motzkin numbers, Fine numbers, and so on.
Author :
Feng-Zhen Zhao
Department of Mathematics, Shanghai University, Shanghai 200444, China.
DOI: https://doi.org/10.32381/JCISS.2020.45.1-4.12