Domain: Difference between revisions
(New page: ==Definition== A '''domain in the complex numbers''', or simply a '''domain''', is a connected open subset of the complex numbers <math>\mathbb{C}</math>. Complex analysis is the study of...) |
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Latest revision as of 19:12, 18 May 2008
Definition
A domain in the complex numbers, or simply a domain, is a connected open subset of the complex numbers . Complex analysis is the study of functions defined on domains.
Note that a function defined on a not necessarily connected open subset can be studied in terms of how it behaves on the connected components of that open subset, each of which is a domain.