On a problem of Bonar concerning Fatou points for annular functions
Keyword(s):
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.
1998 ◽
Vol 50
(3)
◽
pp. 595-604
◽
Keyword(s):
Keyword(s):
1969 ◽
Vol 35
◽
pp. 151-157
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
1964 ◽
Vol 16
◽
pp. 231-240
◽
Keyword(s):
1970 ◽
Vol 40
◽
pp. 213-220
◽
Keyword(s):
Keyword(s):
Keyword(s):