AIMS Mathematics (Jul 2024)

The constant in asymptotic expansions for a cubic recurrence

  • Xiaoyu Luo,
  • Yong-Guo Shi ,
  • Kelin Li,
  • Pingping Zhang

DOI
https://doi.org/10.3934/math.20241062
Journal volume & issue
Vol. 9, no. 8
pp. 21848 – 21859

Abstract

Read online

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.

Keywords