Difference between revisions of "Weierstrass elementary factors inequality"
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==Theorem== | ==Theorem== | ||
The following formula holds for $|z| \leq 1$: | The following formula holds for $|z| \leq 1$: | ||
| − | $$\left| 1-E_n(z) \right| \leq \left| z \right|^{n+1} | + | $$\left| 1-E_n(z) \right| \leq \left| z \right|^{n+1},$$ |
| + | where $E_n$ denotes a [[Weierstrass elementary factors|Weierstrass elementary factor]]. | ||
==Proof== | ==Proof== | ||
Latest revision as of 19:11, 26 November 2016
Theorem
The following formula holds for $|z| \leq 1$: $$\left| 1-E_n(z) \right| \leq \left| z \right|^{n+1},$$ where $E_n$ denotes a Weierstrass elementary factor.
