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The Immediate Basin of Attraction of Infinity for Polynomial Semigroups of Finite Type
Author(s) -
Boyd David A.
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703004691
Subject(s) - infinity , mathematics , polynomial , generalization , type (biology) , attraction , pure mathematics , dynamics (music) , function (biology) , set (abstract data type) , mathematical analysis , computer science , physics , geology , paleontology , linguistics , philosophy , evolutionary biology , acoustics , biology , programming language
As a generalization of the dynamics of a single polynomial, Hinkkanen and Martin studied the dynamics of polynomial semigroups of finite type. Among the issues addressed were possible generalizations of the filled‐in Julia set of a single polynomial and the basin of attraction for infinity. In the paper, these concepts are further refined, and the connections between the dynamics of a single function and the dynamics of semigroups are strengthened.