Weierstrass factorization theorem: Difference between revisions

Revision as of 23:07, 7 April 2020

Revision as of 17:11, 11 April 2020

Line 1:

{{tone|date=June 2014}}

In [[mathematics]], and particularly in the field of [[complex analysis]], the '''Weierstrass factorization theorem''' asserts that every [[entire function]] can be represented as a (possibly infinite) product involving its [[Zero of a function|zeroes]]. The theorem may be viewed as an extension of the [[fundamental theorem of algebra]], which asserts that every polynomial may be factored into linear factors, one for each root.