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[SPAM] [obm-l] análise complexa



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Seja f: U --> C ( complexos ) uma fun=E7=E3o holomorfa, onde U =E9 um
dom=EDnio.Suponha que exista um ponto (a) pertencente a U tal que
|f(a)|<=3D|f(z)| para todo ponto z pertencente a U. Mostre que , ou bem
f(a)=3D0, ou bem f =E9 uma fun=E7=E3o constante.

--=20
Kleber B. Bastos

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<div>Seja f: U --&gt; C ( complexos ) uma fun=E7=E3o holomorfa, onde U =E9 =
um dom=EDnio.Suponha que exista um ponto (a) pertencente a U tal que </div>
<div>|f(a)|&lt;=3D|f(z)| para todo ponto z pertencente a U. Mostre que , ou=
 bem f(a)=3D0, ou bem f =E9 uma fun=E7=E3o constante.<br clear=3D"all"><br>=
-- <br>Kleber B. Bastos </div>

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