Bi-Fatou points of a Blaschke quotient

1981 ◽  
Vol 176 (3) ◽  
pp. 375-377
Author(s):  
Shinji Yamashita
Keyword(s):  
Fatou Points

scholarly journals On a problem of Bonar concerning Fatou points for annular functions

1975 ◽  
Vol 56 ◽  
pp. 163-170
Author(s):  
Akio Osada
Keyword(s):  
Unit Circle ◽  
Unit Disk ◽  
Open Unit ◽  
Open Unit Disk ◽  
Minimum Modulus ◽  
Jordan Curves ◽  
Fatou Points ◽  
Annular Functions

The purpose of this paper is to study the distribution of Fatou points of annular functions introduced by Bagemihl and Erdös [1]. Recall that a function f(z), regular in the open unit disk D: | z | < 1, is referred to as an annular function if there exists a sequence {Jn} of closed Jordan curves, converging out to the unit circle C: | z | = 1, such that the minimum modulus of f(z) on Jn increases to infinity. If the Jn can be taken as circles concentric with C, f(z) will be called strongly annular.

scholarly journals Sums of normal functions and Fatou points.

1963 ◽  
Vol 10 (3) ◽  
pp. 221-224
Author(s):  
Peter Lappan
Keyword(s):  
Normal Functions ◽  
Fatou Points
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