Harmonic functions with asymptotic growth (Q679171)
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scientific article; zbMATH DE number 1002149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic functions with asymptotic growth |
scientific article; zbMATH DE number 1002149 |
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Harmonic functions with asymptotic growth (English)
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4 November 1997
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The main result of the paper is the following. Let \(h(z)\) be a harmonic function, \(h(z)\leq O(|z|^k)\) as \(z\to\infty\), \(L(k)= \max(0,[k])\). Then \(h(z)\) is a harmonic polynomial of degree \(d\leq L(k)\).
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growth of functions
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Liouville's theorem
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