Annular Functions and Gap Series

1982 ◽  
Vol 14 (5) ◽  
pp. 415-418 ◽  
Author(s):  
J. S. Hwang ◽  
D. M. Campbell
Keyword(s):  
2017 ◽  
Vol 8 (2) ◽  
pp. 259-269 ◽  
Author(s):  
Bingyang Hu ◽  
Songxiao Li

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

1975 ◽  
Vol 18 (5) ◽  
pp. 753-754
Author(s):  
J. S. Hwang

Theorem. Letbe a function holomorphic in the disk, wherep is a natural number andIfthen then f(z) assumes every complex value infinitely often in every sector.The purpose of this note is to prove the above result. To do this, we first observe that from the condition a<∞, we can easily show that the derivative f′(z) satisfying


IUSCA Journal ◽  
2020 ◽  
Vol 1 (1) ◽  
Author(s):  
Andrew Langford ◽  
Stephen Bird

Leading up to the launch of the International Universities Strength and Conditioning Association Journal (IUSCA Journal) the Editorial team are publishing a ‘bridging the gap’ series of articles about how to bridge the gap between strength and conditioning (S&C) research and practice. We will be looking at how we can better work together as coaches and academics and we will be taking a closer look at the values of science and how we can apply them in practice. By drawing on the wisdom of experienced coaches and researchers, we will look at what this gap is and how we can help bridge it through increased collaboration and the removal of barriers to publication. In this first ‘Bridging the Gap’ article, we briefly discuss (1) what this gap is; (2) why it exists; and (3) potential solutions.


1968 ◽  
Vol 22 (102) ◽  
pp. 416-416
Author(s):  
A. O. L. Atkin
Keyword(s):  

1942 ◽  
Vol 9 (2) ◽  
pp. 404-405 ◽  
Author(s):  
Philip Hartman
Keyword(s):  

1970 ◽  
Vol 43 (1-6) ◽  
pp. 377-381
Author(s):  
B. G. Eke
Keyword(s):  

1975 ◽  
Vol 56 ◽  
pp. 163-170
Author(s):  
Akio Osada

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.


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