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Finite pairs of prescribed cycles of König’s and Steffensen’s methods for entire functions

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成果类型:
期刊论文
作者:
Liu, Gang;Ponnusamy, Saminathan*
通讯作者:
Ponnusamy, Saminathan
作者机构:
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Hunan, Peoples R China.
[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India.
通讯机构:
[Ponnusamy, Saminathan] I
Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India.
语种:
英文
关键词:
Konig's method;Steffensen's method;Cycle;Attracting basin;Parabolic basin;Siegel disk
期刊:
Journal of Computational and Applied Mathematics
ISSN:
0377-0427
年:
2020
卷:
368
页码:
112549
基金类别:
Application-Oriented Characterized Disciplines, China; Double First-Class University Project of Hunan Province, China (Xiangjiaotong) [20181469]; Science and Technology Plan Project of Hunan Province, China [2016TP1020]; Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University, China [IIPA18K06]; Hengyang City Science and Technology Project [2018 kJ125]; Mathematical Research Impact Centric Support (MATRICS) of the Department of Science and Technology (DST), IndiaDepartment of Science & Technology (India) [MTR/2017/000367]
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
The aim of this paper is to reveal some complex dynamical properties of Konig's and Steffensen's methods for entire functions. Two procedures are presented for constructing infinite entire functions simultaneously so that any given finite pairs of prescribed cycles occur when the two methods are applied, respectively. Furthermore, these functions can be chosen by polynomials or transcendental entire func...

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