@article{Luo2024, 
author = {Xiaoyu Luo and Yong-Guo Shi and Kelin Li and Pingping Zhang},
title = {The constant in asymptotic expansions for a cubic recurrence},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21848-21859},
keywords = {cubic function, iterate, asymptotic expansion, Euler Maclaurin formula},
url = {https://www.sciopen.com/article/10.3934/math.20241062},
doi = {10.3934/math.20241062},
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.}
}