Weierstrass factorization theorem: Difference between revisions

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m Hadamard factorization theorem: clarified that Hadamard can. rep. is a special case of Weierstrass
Importing Wikidata short description: "Theorem in complex analysis that entire functions can be factorized according to their zeros"
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{{Short description|Theorem in complex analysis that entire functions can be factorized according to their zeros}}
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.