A note on the functions that preserve harmonicity in the plane (Q1057398)
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scientific article; zbMATH DE number 3897320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the functions that preserve harmonicity in the plane |
scientific article; zbMATH DE number 3897320 |
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A note on the functions that preserve harmonicity in the plane (English)
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1984
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The main result is the following theorem: Let A and B be open sets in the complex plane and let \(f: A\to B\). Then a necessary and sufficient condition for f to preserve harmonicity is that in each connected component of A either f or \(\bar f\) is holomorphic.
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preserve harmonicity
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holomorphic
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0.93540835
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0.9069772
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0.90405923
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0.8933091
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0.8863218
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0.88263017
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