Weierstrass factorization theorem: Difference between revisions

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Elementary factors: Better with displaystyle
 
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For {{math|{{abs|''z''}} < 1}} and <math>n>0</math>, one may express it as
<math display="inline">\displaystyle E_n(z)=\exp\left(-\tfrac{z^{n+1}}{n+1}\sum_{k=0}^\infty\tfrac{z^k}{1+k/(n+1)}\right)</math> and one can read off how those properties are enforced.
 
The utility of the elementary factors <math display="inline">E_n(z)</math> lies in the following lemma:<ref name="rudin"/>