Compositions of harmonic mappings and biharmonic mappings (Q617762)
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scientific article; zbMATH DE number 5835834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compositions of harmonic mappings and biharmonic mappings |
scientific article; zbMATH DE number 5835834 |
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Compositions of harmonic mappings and biharmonic mappings (English)
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13 January 2011
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The authors investigate the properties of the composition of harmonic mappings with harmonic mappings and the composition of biharmonic mappings with harmonic mappings. They give some applications in other areas of biharmonic functions. The proofs for the theorems are rigorous and fair. They give an answer for the Goodman-Saff conjecture for a special class of univalently biharmonic mappings which contains the set of all harmonic univalent mappings.
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univalent function, harmonic mapping
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biharmonic mapping
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convex function
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