[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.4.1107

THE EXTENDED REAL LINE AS A JULIA SET

AKBARI, MONIREH (SHAHID RAJAEE TEACHER TRAINING UNIVERSITY)
RABII, MARYAM (ALZAHRA UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1107-1112 More about this Journal

Abstract

A recursive family $\{F_n\}$ of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of $F_n$ is computed. Finally this family as a real recursive family is studied and it is shown that $F_n$ is chaotic on a specific subset of $\mathbb{R}$ .

Keywords

Julia set; recursive relation; conjugacy; rational function;

Citations & Related Records

Reference

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