# Weierstrass factorization theorem (Q1330788)

theorem in complex analysis that entire functions can be factorized according to their zeros
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Weierstrass factorization theorem
theorem in complex analysis that entire functions can be factorized according to their zeros

## Statements

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${\displaystyle f(z)=z^{\lambda }e^{h(z)}\prod _{1}^{\infty }\left(1-{\frac {z}{a_{n}}}\right)\exp \left({\frac {z}{a_{n}}}+{\frac {1}{2}}\left({\frac {z}{a_{n}}}\right)^{2}+\dots +{\frac {1}{p_{n}}}\left({\frac {z}{a_{n}}}\right)^{p_{n}}\right)}$
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## Identifiers

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28 October 2013