Deformation theorems for analytic functions in annuli and discs
作者:
D. H. Armitage,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1983)
卷期:
Volume 14,
issue 1
页码: 111-114
ISSN:0020-739X
年代: 1983
DOI:10.1080/0020739830140118
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Let O be an annulus or a disc in the complex plane and let f be an analytic function on O. A lower bound for the area of the set f(O) is obtained in terms of the length of the curve f(O), where C is a certain circle concentric with O. The inequality is shown to be sharp and the cases of equality are determined. We indicate proofs which lie entirely within the domain of undergraduate mathematics.
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