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The constant in asymptotic expansions for a cubic recurrence

Authors :
Xiaoyu Luo
Yong-Guo Shi
Kelin Li
Pingping Zhang
Source :
AIMS Mathematics, Vol 9, Iss 8, Pp 21848-21859 (2024)
Publication Year :
2024
Publisher :
AIMS Press, 2024.

Abstract

Some properties of the constant in asymptotic expansion of iterates of a cubic function were investigated. This paper analyzed the monotonicity, differentiability of the constant with respect to the initial value and the functional equation that is satisfied.

Details

Language :
English
ISSN :
20241062 and 24736988
Volume :
9
Issue :
8
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.7a321eb7ee5546e69a92a0a7135c1deb
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20241062?viewType=HTML