J. Korean Math. Soc. 1996; 33(1): 39-46
Printed March 1, 1996
Copyright © The Korean Mathematical Society.
Hong Oh Kim and Hoi Sub Kim
KAIST and Samsung Electron
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
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