Generalized Bôcher's theorem (Q1342345)
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scientific article; zbMATH DE number 710325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Bôcher's theorem |
scientific article; zbMATH DE number 710325 |
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Generalized Bôcher's theorem (English)
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27 August 1995
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The authors present a Laurent-type expansion for harmonic functions in the punctured unit ball of \(\mathbb{R}^ n\) \((n\geq 2)\), together with bounds on the coefficients in the singular part of the expansion. The Laurent expansion for harmonic functions in annuli is well known: see, for example, Chapter 10 of the book by \textit{S. Axler}, \textit{P. Bourdon} and \textit{W. Ramey} [Harmonic function theory (Springer, New York) (1992; Zbl 0765.31001)].
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harmonic function
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isolated singularity
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