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 The extended real line as a Julia set Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1107-1112 https://doi.org/10.4134/BKMS.2015.52.4.1107Printed July 31, 2015 Monireh Akbari and Maryam Rabii Shahid Rajaee Teacher Training University, Alzahra University 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 MSC numbers : 37F50 Downloads: Full-text PDF