The constant in asymptotic expansions for a cubic recurrence-Reference-Cited by-同舟云学术

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The constant in asymptotic expansions for a cubic recurrence

Published:2024 Issue:8 Volume:9 Page:21848-21859
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Luo Xiaoyu¹²,Shi Yong-Guo²,Li Kelin¹,Zhang Pingping³

Affiliation:

1. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 64300, China

2. Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China

3. College of Science, Shandong University of Aeronautics, Binzhou 256603, China

Abstract

<p>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference19 articles.

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2. L. Berg, S. Stević, On the asymptotics of some systems of difference equations, J. Differ. Equations Appl., 17 (2011), 1291–1301. https://doi.org/10.1080/10236190903499311

3. R. Wong, Y. Q. Zhao, Recent advances in asymptotic analysis, Anal. Appl., 20 (2022), 1103–1146. https://doi.org/10.1142/S0219530522400012

4. J. D. Murray, Asymptotic analysis, Springer Science & Business Media, 1984. https://doi.org/10.1007/978-1-4612-1122-8

5. A. M. Odlyzko, Asymptotic enumeration methods, Handbook Combin., 2 (1996), 1229. https://api.semanticscholar.org/CorpusID:18823184

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