Liouville's theorem: Difference between revisions

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(New page: ==Statement== Any entire function (holomorphic function on the whole of <math>\mathbb{C}</math>) that is bounded (i.e. its image is bounded in absolute value) must be constant. ==Fac...)
 
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{{basic fact}}
==Statement==
==Statement==



Revision as of 18:37, 26 April 2008

This article gives the statement, and possibly proof, of a basic fact in complex analysis.
View a complete list of basic facts in complex analysis

Statement

Any entire function (holomorphic function on the whole of C) that is bounded (i.e. its image is bounded in absolute value) must be constant.

Facts used

Proof