Möbius transformations of convex mappings*
作者:
Roger W. Barnard,
Glenn Schober,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1984)
卷期:
Volume 3,
issue 1-3
页码: 55-69
ISSN:0278-1077
年代: 1984
DOI:10.1080/17476938408814063
出版商: Gordon and Breach Science Publishers
关键词: 30A32
数据来源: Taylor
摘要:
Extremal problems are considered for the class of functions inSthat are Möbius transformations of convex mappings. A variational method based on Julia's formula is used to describe extremal functions for a certain class of problems. These admissible problems are shown to have extremal functions which are either half-plane mappings or Möbius transformations of strip mappings. An explicit solution is given for the second-coefficient problem.
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