Correspondence between spirallike functions and starlike functions

Title
Correspondence between spirallike functions and starlike functions
Author(s)
김용찬Toshiyuki Sugawa[Toshiyuki Sugawa]
Keywords
HARDY CLASS
Issue Date
201202
Publisher
WILEY-BLACKWELL
Citation
MATHEMATISCHE NACHRICHTEN, v.285, no.2-3, pp.322 - 331
Abstract
Let ? be a real number with -p/2 < ? < p/2. In order to study ?-spirallike functions, it is natural to measure the angle according to ?-spirals. Thus we are led to the notion of ?-argument. This fits well the classical correspondence between ?-spirallike functions and starlike functions. Using this idea, we extend deep results of Pommerenke and Sheil-Small on starlike functions to spirallike functions. As an application, we solved a problem given by Hansen in 6.
URI
http://hdl.handle.net/YU.REPOSITORY/29926http://dx.doi.org/10.1002/mana.201010020
ISSN
0025-584X
Appears in Collections:
사범대학 > 수학교육과 > Articles
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