Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 1996; 33(1): 39-46

Printed March 1, 1996

Copyright © The Korean Mathematical Society.

Dynamics of two parameter family of point-mass singular inner functions

Hong Oh Kim and Hoi Sub Kim

KAIST and Samsung Electron

Abstract

As a continuatin of our previous work on the point-mass singular inner functions $M_{\zeta, \alpha}(z) =\exp (-\alpha \frac{\zeta + z}{\zeta -z})$, we consider the dynamical behavior of the family. The Julia sets of the family and the local dynamical behavior at the indifferent Denjoy-Wolff points are determined.

Keywords: Denjoy-Wolff point, Julia set, inner function

MSC numbers: 30D05