Zeros of strongly annular functions

1975 ◽  
Vol 144 (3) ◽  
pp. 175-179 ◽  
Author(s):  
Karl F. Barth ◽  
Daniel D. Bonar ◽  
Francis W. Carroll
Keyword(s):  
Annular Functions

Families of strongly annular functions: linear structure

2011 ◽  
Vol 26 (1) ◽  
pp. 283-297 ◽  
Author(s):  
Luis Bernal-González ◽  
Antonio Bonilla
Keyword(s):  
Linear Structure ◽  
Annular Functions

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 Strongly annular functions with small Taylor coefficients

1977 ◽  
Vol 156 (1) ◽  
pp. 85-91 ◽  
Author(s):  
Daniel D. Bonar ◽  
Frank Carroll ◽  
George Piranian
Keyword(s):  
Taylor Coefficients ◽  
Annular Functions

Annular Functions and Gap Series

1982 ◽  
Vol 14 (5) ◽  
pp. 415-418 ◽  
Author(s):  
J. S. Hwang ◽  
D. M. Campbell
Keyword(s):  
Gap Series ◽  
Annular Functions
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