The Borel-Caratheodory theorem, in complex analysis, shows that an analytic function can be bounded using only the values of its real part. The result is an application of the maximum modulus principle, and it is named for the mathematicians Emile Borel and Constantin Caratheodory.
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StatementThe Borel-Caratheodory theorem in complex analysis shows that an analytic function may be bounded by its real part. 1 Classification
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Source Borel-Caratheodory theorem - Wikipedia
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Source Borel-Caratheodory theorem - Wikipedia
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1. Borel-Caratheodory theorem - Wikipedia
Lead section
In mathematics, the Borel-Carathéodory theorem in complex analysis shows that an analytic function may be bounded by its real part.
- In Branch: Complex Analysis, Lead sentence
Proved By: Constantin Carathéodory, Lead
It is named for Émile Borel and Constantin Carathéodory.
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