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Reference.org
Area theorem (conformal mapping)
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<p>In the <a href="/facts/Mathematics/pxTouaz4">mathematical</a> theory of <a href="/facts/Conformal_mapping/cEpQnMad">conformal mappings</a>, the area theorem gives an <a href="/facts/Inequality_(mathematics)/qkze4zdI">inequality</a> satisfied by the <a href="/facts/Power_series/vYh6sTps">power series</a> <a href="/facts/Coefficient/5Hwq2Wuq">coefficients</a> of certain conformal mappings. The theorem is called by that name, not because of its implications, but rather because the proof uses the notion of <a href="/facts/Area/KsNG1G9t">area</a>. </p>