THE EXTENDED REAL LINE AS A JULIA SET

Title & Authors
THE EXTENDED REAL LINE AS A JULIA SET
AKBARI, MONIREH; RABII, MARYAM;

Abstract
A recursive family $\small{\{F_n\}}$ of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of $\small{F_n}$ is computed. Finally this family as a real recursive family is studied and it is shown that $\small{F_n}$ is chaotic on a specific subset of $\small{\mathbb{R}}$.
Keywords
Julia set;recursive relation;conjugacy;rational function;
Language
English
Cited by
References
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