On the minimum of harmonic functions (Q1411297)
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scientific article; zbMATH DE number 1997288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimum of harmonic functions |
scientific article; zbMATH DE number 1997288 |
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On the minimum of harmonic functions (English)
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27 October 2003
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The author proves that if \(u\) is harmonic in the unit disc of the complex plane, \(u(0)=0\), and \(u(z)\leq M(| z| )\) for a majorant \(M\), then \(-u(z) \leq (1+o(1))M(| z| )\) for \(| z| \rightarrow 1\). A similar result is obtained for the plane.
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growth of harmonic function
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entire function
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